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Finding the Fourth Proportional to 305,865,781.80, 458,798,672.70 and 275,254,780.20

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Solution

The fourth proportional to 305,865,781.80, 458,798,672.70 and 275,254,780.20 is: 412,882,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,865,781.80 : 458,798,672.70 = 275,254,780.20 : x
  2. Step 2: Convert to fraction form
    305,865,781.80/458,798,672.70 = 275,254,780.20/x
  3. Step 3: Cross multiply
    305,865,781.80x = 458,798,672.70 × 275,254,780.20
  4. Step 4: Simplify right side
    305,865,781.80x = 126,286,527,810,090,224
  5. Step 5: Solve for x
    x = 126,286,527,810,090,224/305,865,781.80
  6. Step 6: Final answer
    x = 412,882,170.30

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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.