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Finding the Fourth Proportional to 209,133.60, 313,279.20 and 145,737.60

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Solution

The fourth proportional to 209,133.60, 313,279.20 and 145,737.60 is: 218,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,133.60 : 313,279.20 = 145,737.60 : x
  2. Step 2: Convert to fraction form
    209,133.60/313,279.20 = 145,737.60/x
  3. Step 3: Cross multiply
    209,133.60x = 313,279.20 × 145,737.60
  4. Step 4: Simplify right side
    209,133.60x = 45,656,558,737.92
  5. Step 5: Solve for x
    x = 45,656,558,737.92/209,133.60
  6. Step 6: Final answer
    x = 218,312.88

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1.5x scale

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.