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Finding the Fourth Proportional to 498,476, 687,890.64 and 283,615.52

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Solution

The fourth proportional to 498,476, 687,890.64 and 283,615.52 is: 391,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,476 : 687,890.64 = 283,615.52 : x
  2. Step 2: Convert to fraction form
    498,476/687,890.64 = 283,615.52/x
  3. Step 3: Cross multiply
    498,476x = 687,890.64 × 283,615.52
  4. Step 4: Simplify right side
    498,476x = 195,096,461,566.73
  5. Step 5: Solve for x
    x = 195,096,461,566.73/498,476
  6. Step 6: Final answer
    x = 391,385.87

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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.