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Finding the Fourth Proportional to 498,371.70, 747,666.90 and 161,427.90

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Solution

The fourth proportional to 498,371.70, 747,666.90 and 161,427.90 is: 242,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,371.70 : 747,666.90 = 161,427.90 : x
  2. Step 2: Convert to fraction form
    498,371.70/747,666.90 = 161,427.90/x
  3. Step 3: Cross multiply
    498,371.70x = 747,666.90 × 161,427.90
  4. Step 4: Simplify right side
    498,371.70x = 120,694,297,566.51
  5. Step 5: Solve for x
    x = 120,694,297,566.51/498,371.70
  6. Step 6: Final answer
    x = 242,177.27

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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.