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Finding the Fourth Proportional to 497,472.96, 686,515.00 and 282,624.82

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Solution

The fourth proportional to 497,472.96, 686,515.00 and 282,624.82 is: 390,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472.96 : 686,515.00 = 282,624.82 : x
  2. Step 2: Convert to fraction form
    497,472.96/686,515.00 = 282,624.82/x
  3. Step 3: Cross multiply
    497,472.96x = 686,515.00 × 282,624.82
  4. Step 4: Simplify right side
    497,472.96x = 194,026,175,879.45
  5. Step 5: Solve for x
    x = 194,026,175,879.45/497,472.96
  6. Step 6: Final answer
    x = 390,023.56

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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.