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Finding the Fourth Proportional to 520,976.97, 780,938.42 and 205,655.85

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Solution

The fourth proportional to 520,976.97, 780,938.42 and 205,655.85 is: 308,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,976.97 : 780,938.42 = 205,655.85 : x
  2. Step 2: Convert to fraction form
    520,976.97/780,938.42 = 205,655.85/x
  3. Step 3: Cross multiply
    520,976.97x = 780,938.42 × 205,655.85
  4. Step 4: Simplify right side
    520,976.97x = 160,604,553,534.48
  5. Step 5: Solve for x
    x = 160,604,553,534.48/520,976.97
  6. Step 6: Final answer
    x = 308,275.73

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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.