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Finding the Fourth Proportional to 520,724.70, 781,079.76 and 205,184.34

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Solution

The fourth proportional to 520,724.70, 781,079.76 and 205,184.34 is: 307,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,724.70 : 781,079.76 = 205,184.34 : x
  2. Step 2: Convert to fraction form
    520,724.70/781,079.76 = 205,184.34/x
  3. Step 3: Cross multiply
    520,724.70x = 781,079.76 × 205,184.34
  4. Step 4: Simplify right side
    520,724.70x = 160,265,335,042.96
  5. Step 5: Solve for x
    x = 160,265,335,042.96/520,724.70
  6. Step 6: Final answer
    x = 307,773.64

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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.