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Finding the Fourth Proportional to 256,459.38, 384,799.80 and 138,107.13

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Solution

The fourth proportional to 256,459.38, 384,799.80 and 138,107.13 is: 207,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,459.38 : 384,799.80 = 138,107.13 : x
  2. Step 2: Convert to fraction form
    256,459.38/384,799.80 = 138,107.13/x
  3. Step 3: Cross multiply
    256,459.38x = 384,799.80 × 138,107.13
  4. Step 4: Simplify right side
    256,459.38x = 53,143,596,002.57
  5. Step 5: Solve for x
    x = 53,143,596,002.57/256,459.38
  6. Step 6: Final answer
    x = 207,220.32

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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.