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Finding the Fourth Proportional to 498,231.66, 687,539.88 and 294,348.24

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Solution

The fourth proportional to 498,231.66, 687,539.88 and 294,348.24 is: 406,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,231.66 : 687,539.88 = 294,348.24 : x
  2. Step 2: Convert to fraction form
    498,231.66/687,539.88 = 294,348.24/x
  3. Step 3: Cross multiply
    498,231.66x = 687,539.88 × 294,348.24
  4. Step 4: Simplify right side
    498,231.66x = 202,376,150,170.11
  5. Step 5: Solve for x
    x = 202,376,150,170.11/498,231.66
  6. Step 6: Final answer
    x = 406,188.86

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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.