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Finding the Fourth Proportional to 435,851.28, 653,753.88 and 256,035.60

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Solution

The fourth proportional to 435,851.28, 653,753.88 and 256,035.60 is: 384,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,851.28 : 653,753.88 = 256,035.60 : x
  2. Step 2: Convert to fraction form
    435,851.28/653,753.88 = 256,035.60/x
  3. Step 3: Cross multiply
    435,851.28x = 653,753.88 × 256,035.60
  4. Step 4: Simplify right side
    435,851.28x = 167,384,266,918.13
  5. Step 5: Solve for x
    x = 167,384,266,918.13/435,851.28
  6. Step 6: Final answer
    x = 384,039.87

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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.