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Finding the Fourth Proportional to 521,138.40, 781,966.80 and 205,605.60

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Solution

The fourth proportional to 521,138.40, 781,966.80 and 205,605.60 is: 308,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,138.40 : 781,966.80 = 205,605.60 : x
  2. Step 2: Convert to fraction form
    521,138.40/781,966.80 = 205,605.60/x
  3. Step 3: Cross multiply
    521,138.40x = 781,966.80 × 205,605.60
  4. Step 4: Simplify right side
    521,138.40x = 160,776,753,094.08
  5. Step 5: Solve for x
    x = 160,776,753,094.08/521,138.40
  6. Step 6: Final answer
    x = 308,510.66

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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.