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Finding the Fourth Proportional to 497,557.52, 686,647.88 and 282,734

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Solution

The fourth proportional to 497,557.52, 686,647.88 and 282,734 is: 390,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,557.52 : 686,647.88 = 282,734 : x
  2. Step 2: Convert to fraction form
    497,557.52/686,647.88 = 282,734/x
  3. Step 3: Cross multiply
    497,557.52x = 686,647.88 × 282,734
  4. Step 4: Simplify right side
    497,557.52x = 194,138,701,703.92
  5. Step 5: Solve for x
    x = 194,138,701,703.92/497,557.52
  6. Step 6: Final answer
    x = 390,183.43

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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.