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Finding the Fourth Proportional to 497,479.44, 686,523.92 and 282,631.30

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Solution

The fourth proportional to 497,479.44, 686,523.92 and 282,631.30 is: 390,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,479.44 : 686,523.92 = 282,631.30 : x
  2. Step 2: Convert to fraction form
    497,479.44/686,523.92 = 282,631.30/x
  3. Step 3: Cross multiply
    497,479.44x = 686,523.92 × 282,631.30
  4. Step 4: Simplify right side
    497,479.44x = 194,033,147,990.70
  5. Step 5: Solve for x
    x = 194,033,147,990.70/497,479.44
  6. Step 6: Final answer
    x = 390,032.50

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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.