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Finding the Fourth Proportional to 520,705.85, 781,502.58 and 205,384.19

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Solution

The fourth proportional to 520,705.85, 781,502.58 and 205,384.19 is: 308,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,705.85 : 781,502.58 = 205,384.19 : x
  2. Step 2: Convert to fraction form
    520,705.85/781,502.58 = 205,384.19/x
  3. Step 3: Cross multiply
    520,705.85x = 781,502.58 × 205,384.19
  4. Step 4: Simplify right side
    520,705.85x = 160,508,270,468.70
  5. Step 5: Solve for x
    x = 160,508,270,468.70/520,705.85
  6. Step 6: Final answer
    x = 308,251.33

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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.