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Finding the Fourth Proportional to 498,431.70, 747,574.65 and 143,408.70

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Solution

The fourth proportional to 498,431.70, 747,574.65 and 143,408.70 is: 215,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,431.70 : 747,574.65 = 143,408.70 : x
  2. Step 2: Convert to fraction form
    498,431.70/747,574.65 = 143,408.70/x
  3. Step 3: Cross multiply
    498,431.70x = 747,574.65 × 143,408.70
  4. Step 4: Simplify right side
    498,431.70x = 107,208,708,709.46
  5. Step 5: Solve for x
    x = 107,208,708,709.46/498,431.70
  6. Step 6: Final answer
    x = 215,092.08

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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.