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Finding the Fourth Proportional to 497,520.14, 686,578.02 and 282,660.56

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Solution

The fourth proportional to 497,520.14, 686,578.02 and 282,660.56 is: 390,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,520.14 : 686,578.02 = 282,660.56 : x
  2. Step 2: Convert to fraction form
    497,520.14/686,578.02 = 282,660.56/x
  3. Step 3: Cross multiply
    497,520.14x = 686,578.02 × 282,660.56
  4. Step 4: Simplify right side
    497,520.14x = 194,068,527,616.89
  5. Step 5: Solve for x
    x = 194,068,527,616.89/497,520.14
  6. Step 6: Final answer
    x = 390,071.70

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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.