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Finding the Fourth Proportional to 242,794.72, 363,861.84 and 143,000.80

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Solution

The fourth proportional to 242,794.72, 363,861.84 and 143,000.80 is: 214,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,794.72 : 363,861.84 = 143,000.80 : x
  2. Step 2: Convert to fraction form
    242,794.72/363,861.84 = 143,000.80/x
  3. Step 3: Cross multiply
    242,794.72x = 363,861.84 × 143,000.80
  4. Step 4: Simplify right side
    242,794.72x = 52,032,534,209.47
  5. Step 5: Solve for x
    x = 52,032,534,209.47/242,794.72
  6. Step 6: Final answer
    x = 214,306.70

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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.