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Finding the Fourth Proportional to 497,712, 686,859.84 and 282,861.12

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Solution

The fourth proportional to 497,712, 686,859.84 and 282,861.12 is: 390,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,712 : 686,859.84 = 282,861.12 : x
  2. Step 2: Convert to fraction form
    497,712/686,859.84 = 282,861.12/x
  3. Step 3: Cross multiply
    497,712x = 686,859.84 × 282,861.12
  4. Step 4: Simplify right side
    497,712x = 194,285,943,625.42
  5. Step 5: Solve for x
    x = 194,285,943,625.42/497,712
  6. Step 6: Final answer
    x = 390,358.17

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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.