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Finding the Fourth Proportional to 399,248.82, 598,374.81 and 199,626.28

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Solution

The fourth proportional to 399,248.82, 598,374.81 and 199,626.28 is: 299,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,248.82 : 598,374.81 = 199,626.28 : x
  2. Step 2: Convert to fraction form
    399,248.82/598,374.81 = 199,626.28/x
  3. Step 3: Cross multiply
    399,248.82x = 598,374.81 × 199,626.28
  4. Step 4: Simplify right side
    399,248.82x = 119,451,335,870.07
  5. Step 5: Solve for x
    x = 119,451,335,870.07/399,248.82
  6. Step 6: Final answer
    x = 299,190.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.