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Finding the Fourth Proportional to 497,497.92, 686,563.20 and 282,634.08

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Solution

The fourth proportional to 497,497.92, 686,563.20 and 282,634.08 is: 390,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,497.92 : 686,563.20 = 282,634.08 : x
  2. Step 2: Convert to fraction form
    497,497.92/686,563.20 = 282,634.08/x
  3. Step 3: Cross multiply
    497,497.92x = 686,563.20 × 282,634.08
  4. Step 4: Simplify right side
    497,497.92x = 194,046,158,393.86
  5. Step 5: Solve for x
    x = 194,046,158,393.86/497,497.92
  6. Step 6: Final answer
    x = 390,044.16

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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.