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Finding the Fourth Proportional to 497,472.73, 686,514.68 and 282,624.58

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Solution

The fourth proportional to 497,472.73, 686,514.68 and 282,624.58 is: 390,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472.73 : 686,514.68 = 282,624.58 : x
  2. Step 2: Convert to fraction form
    497,472.73/686,514.68 = 282,624.58/x
  3. Step 3: Cross multiply
    497,472.73x = 686,514.68 × 282,624.58
  4. Step 4: Simplify right side
    497,472.73x = 194,025,922,240.84
  5. Step 5: Solve for x
    x = 194,025,922,240.84/497,472.73
  6. Step 6: Final answer
    x = 390,023.24

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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.