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Finding the Fourth Proportional to 498,424.70, 747,809.85 and 218,143.10

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Solution

The fourth proportional to 498,424.70, 747,809.85 and 218,143.10 is: 327,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,424.70 : 747,809.85 = 218,143.10 : x
  2. Step 2: Convert to fraction form
    498,424.70/747,809.85 = 218,143.10/x
  3. Step 3: Cross multiply
    498,424.70x = 747,809.85 × 218,143.10
  4. Step 4: Simplify right side
    498,424.70x = 163,129,558,889.54
  5. Step 5: Solve for x
    x = 163,129,558,889.54/498,424.70
  6. Step 6: Final answer
    x = 327,290.28

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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.