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Finding the Fourth Proportional to 274,792.60, 412,431.90 and 162,332.20

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Solution

The fourth proportional to 274,792.60, 412,431.90 and 162,332.20 is: 243,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,792.60 : 412,431.90 = 162,332.20 : x
  2. Step 2: Convert to fraction form
    274,792.60/412,431.90 = 162,332.20/x
  3. Step 3: Cross multiply
    274,792.60x = 412,431.90 × 162,332.20
  4. Step 4: Simplify right side
    274,792.60x = 66,950,977,677.18
  5. Step 5: Solve for x
    x = 66,950,977,677.18/274,792.60
  6. Step 6: Final answer
    x = 243,641.85

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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.