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Finding the Fourth Proportional to 643,185.84, 964,098.09 and 216,315.30

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Solution

The fourth proportional to 643,185.84, 964,098.09 and 216,315.30 is: 324,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,185.84 : 964,098.09 = 216,315.30 : x
  2. Step 2: Convert to fraction form
    643,185.84/964,098.09 = 216,315.30/x
  3. Step 3: Cross multiply
    643,185.84x = 964,098.09 × 216,315.30
  4. Step 4: Simplify right side
    643,185.84x = 208,549,167,567.78
  5. Step 5: Solve for x
    x = 208,549,167,567.78/643,185.84
  6. Step 6: Final answer
    x = 324,244.03

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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.