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Finding the Fourth Proportional to 274,931.60, 412,003.80 and 156,352.40

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Solution

The fourth proportional to 274,931.60, 412,003.80 and 156,352.40 is: 234,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,931.60 : 412,003.80 = 156,352.40 : x
  2. Step 2: Convert to fraction form
    274,931.60/412,003.80 = 156,352.40/x
  3. Step 3: Cross multiply
    274,931.60x = 412,003.80 × 156,352.40
  4. Step 4: Simplify right side
    274,931.60x = 64,417,782,939.12
  5. Step 5: Solve for x
    x = 64,417,782,939.12/274,931.60
  6. Step 6: Final answer
    x = 234,304.76

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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.