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Finding the Fourth Proportional to 520,598.85, 781,092.68 and 205,275.57

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Solution

The fourth proportional to 520,598.85, 781,092.68 and 205,275.57 is: 307,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,598.85 : 781,092.68 = 205,275.57 : x
  2. Step 2: Convert to fraction form
    520,598.85/781,092.68 = 205,275.57/x
  3. Step 3: Cross multiply
    520,598.85x = 781,092.68 × 205,275.57
  4. Step 4: Simplify right side
    520,598.85x = 160,339,244,083.45
  5. Step 5: Solve for x
    x = 160,339,244,083.45/520,598.85
  6. Step 6: Final answer
    x = 307,990.01

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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.