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Finding the Fourth Proportional to 521,107.80, 781,698.15 and 205,523.70

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Solution

The fourth proportional to 521,107.80, 781,698.15 and 205,523.70 is: 308,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,107.80 : 781,698.15 = 205,523.70 : x
  2. Step 2: Convert to fraction form
    521,107.80/781,698.15 = 205,523.70/x
  3. Step 3: Cross multiply
    521,107.80x = 781,698.15 × 205,523.70
  4. Step 4: Simplify right side
    521,107.80x = 160,657,496,071.16
  5. Step 5: Solve for x
    x = 160,657,496,071.16/521,107.80
  6. Step 6: Final answer
    x = 308,299.93

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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.