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Finding the Fourth Proportional to 498,346.70, 747,629.40 and 161,402.90

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Solution

The fourth proportional to 498,346.70, 747,629.40 and 161,402.90 is: 242,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,346.70 : 747,629.40 = 161,402.90 : x
  2. Step 2: Convert to fraction form
    498,346.70/747,629.40 = 161,402.90/x
  3. Step 3: Cross multiply
    498,346.70x = 747,629.40 × 161,402.90
  4. Step 4: Simplify right side
    498,346.70x = 120,669,553,285.26
  5. Step 5: Solve for x
    x = 120,669,553,285.26/498,346.70
  6. Step 6: Final answer
    x = 242,139.77

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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.