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Finding the Fourth Proportional to 498,046.96, 687,337.23 and 283,207

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Solution

The fourth proportional to 498,046.96, 687,337.23 and 283,207 is: 390,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,046.96 : 687,337.23 = 283,207 : x
  2. Step 2: Convert to fraction form
    498,046.96/687,337.23 = 283,207/x
  3. Step 3: Cross multiply
    498,046.96x = 687,337.23 × 283,207
  4. Step 4: Simplify right side
    498,046.96x = 194,658,714,896.61
  5. Step 5: Solve for x
    x = 194,658,714,896.61/498,046.96
  6. Step 6: Final answer
    x = 390,844.10

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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.