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Finding the Fourth Proportional to 218,780.93, 328,168.14 and 133,416.87

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Solution

The fourth proportional to 218,780.93, 328,168.14 and 133,416.87 is: 200,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,780.93 : 328,168.14 = 133,416.87 : x
  2. Step 2: Convert to fraction form
    218,780.93/328,168.14 = 133,416.87/x
  3. Step 3: Cross multiply
    218,780.93x = 328,168.14 × 133,416.87
  4. Step 4: Simplify right side
    218,780.93x = 43,783,166,656.57
  5. Step 5: Solve for x
    x = 43,783,166,656.57/218,780.93
  6. Step 6: Final answer
    x = 200,123.32

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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.