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Finding the Fourth Proportional to 921,457, 1,382,185.50 and 256,609

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Solution

The fourth proportional to 921,457, 1,382,185.50 and 256,609 is: 384,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,457 : 1,382,185.50 = 256,609 : x
  2. Step 2: Convert to fraction form
    921,457/1,382,185.50 = 256,609/x
  3. Step 3: Cross multiply
    921,457x = 1,382,185.50 × 256,609
  4. Step 4: Simplify right side
    921,457x = 354,681,238,969.50
  5. Step 5: Solve for x
    x = 354,681,238,969.50/921,457
  6. Step 6: Final answer
    x = 384,913.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.