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Finding the Fourth Proportional to 256,743.63, 385,115.49 and 96,776.22

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Solution

The fourth proportional to 256,743.63, 385,115.49 and 96,776.22 is: 145,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,743.63 : 385,115.49 = 96,776.22 : x
  2. Step 2: Convert to fraction form
    256,743.63/385,115.49 = 96,776.22/x
  3. Step 3: Cross multiply
    256,743.63x = 385,115.49 × 96,776.22
  4. Step 4: Simplify right side
    256,743.63x = 37,270,021,385.65
  5. Step 5: Solve for x
    x = 37,270,021,385.65/256,743.63
  6. Step 6: Final answer
    x = 145,164.35

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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.