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Finding the Fourth Proportional to 498,440.79, 687,855.51 and 283,576.23

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Solution

The fourth proportional to 498,440.79, 687,855.51 and 283,576.23 is: 391,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,440.79 : 687,855.51 = 283,576.23 : x
  2. Step 2: Convert to fraction form
    498,440.79/687,855.51 = 283,576.23/x
  3. Step 3: Cross multiply
    498,440.79x = 687,855.51 × 283,576.23
  4. Step 4: Simplify right side
    498,440.79x = 195,059,472,310.53
  5. Step 5: Solve for x
    x = 195,059,472,310.53/498,440.79
  6. Step 6: Final answer
    x = 391,339.30

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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.