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Finding the Fourth Proportional to 520,709.81, 781,508.48 and 205,388.15

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Solution

The fourth proportional to 520,709.81, 781,508.48 and 205,388.15 is: 308,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,709.81 : 781,508.48 = 205,388.15 : x
  2. Step 2: Convert to fraction form
    520,709.81/781,508.48 = 205,388.15/x
  3. Step 3: Cross multiply
    520,709.81x = 781,508.48 × 205,388.15
  4. Step 4: Simplify right side
    520,709.81x = 160,512,575,982.03
  5. Step 5: Solve for x
    x = 160,512,575,982.03/520,709.81
  6. Step 6: Final answer
    x = 308,257.26

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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.