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Finding the Fourth Proportional to 497,957.58, 687,239.55 and 283,129.83

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Solution

The fourth proportional to 497,957.58, 687,239.55 and 283,129.83 is: 390,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,957.58 : 687,239.55 = 283,129.83 : x
  2. Step 2: Convert to fraction form
    497,957.58/687,239.55 = 283,129.83/x
  3. Step 3: Cross multiply
    497,957.58x = 687,239.55 × 283,129.83
  4. Step 4: Simplify right side
    497,957.58x = 194,578,016,960.78
  5. Step 5: Solve for x
    x = 194,578,016,960.78/497,957.58
  6. Step 6: Final answer
    x = 390,752.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.