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Finding the Fourth Proportional to 498,368.70, 747,662.40 and 161,424.90

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Solution

The fourth proportional to 498,368.70, 747,662.40 and 161,424.90 is: 242,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,368.70 : 747,662.40 = 161,424.90 : x
  2. Step 2: Convert to fraction form
    498,368.70/747,662.40 = 161,424.90/x
  3. Step 3: Cross multiply
    498,368.70x = 747,662.40 × 161,424.90
  4. Step 4: Simplify right side
    498,368.70x = 120,691,328,153.76
  5. Step 5: Solve for x
    x = 120,691,328,153.76/498,368.70
  6. Step 6: Final answer
    x = 242,172.77

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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.