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Finding the Fourth Proportional to 423,187.77, 634,891.02 and 157,024.20

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Solution

The fourth proportional to 423,187.77, 634,891.02 and 157,024.20 is: 235,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,187.77 : 634,891.02 = 157,024.20 : x
  2. Step 2: Convert to fraction form
    423,187.77/634,891.02 = 157,024.20/x
  3. Step 3: Cross multiply
    423,187.77x = 634,891.02 × 157,024.20
  4. Step 4: Simplify right side
    423,187.77x = 99,693,254,502.68
  5. Step 5: Solve for x
    x = 99,693,254,502.68/423,187.77
  6. Step 6: Final answer
    x = 235,576.88

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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.