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Finding the Fourth Proportional to 256,767.32, 385,316.22 and 138,520.28

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Solution

The fourth proportional to 256,767.32, 385,316.22 and 138,520.28 is: 207,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,767.32 : 385,316.22 = 138,520.28 : x
  2. Step 2: Convert to fraction form
    256,767.32/385,316.22 = 138,520.28/x
  3. Step 3: Cross multiply
    256,767.32x = 385,316.22 × 138,520.28
  4. Step 4: Simplify right side
    256,767.32x = 53,374,108,829.51
  5. Step 5: Solve for x
    x = 53,374,108,829.51/256,767.32
  6. Step 6: Final answer
    x = 207,869.56

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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.