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Finding the Fourth Proportional to 498,134.56, 687,422.18 and 283,274.57

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Solution

The fourth proportional to 498,134.56, 687,422.18 and 283,274.57 is: 390,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,134.56 : 687,422.18 = 283,274.57 : x
  2. Step 2: Convert to fraction form
    498,134.56/687,422.18 = 283,274.57/x
  3. Step 3: Cross multiply
    498,134.56x = 687,422.18 × 283,274.57
  4. Step 4: Simplify right side
    498,134.56x = 194,729,219,010.85
  5. Step 5: Solve for x
    x = 194,729,219,010.85/498,134.56
  6. Step 6: Final answer
    x = 390,916.91

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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.