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Finding the Fourth Proportional to 498,437.60, 687,858.72 and 283,537.76

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Solution

The fourth proportional to 498,437.60, 687,858.72 and 283,537.76 is: 391,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,437.60 : 687,858.72 = 283,537.76 : x
  2. Step 2: Convert to fraction form
    498,437.60/687,858.72 = 283,537.76/x
  3. Step 3: Cross multiply
    498,437.60x = 687,858.72 × 283,537.76
  4. Step 4: Simplify right side
    498,437.60x = 195,033,920,665.27
  5. Step 5: Solve for x
    x = 195,033,920,665.27/498,437.60
  6. Step 6: Final answer
    x = 391,290.55

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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.