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Finding the Fourth Proportional to 520,921.44, 781,500 and 165,955.68

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Solution

The fourth proportional to 520,921.44, 781,500 and 165,955.68 is: 248,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,921.44 : 781,500 = 165,955.68 : x
  2. Step 2: Convert to fraction form
    520,921.44/781,500 = 165,955.68/x
  3. Step 3: Cross multiply
    520,921.44x = 781,500 × 165,955.68
  4. Step 4: Simplify right side
    520,921.44x = 129,694,363,920
  5. Step 5: Solve for x
    x = 129,694,363,920/520,921.44
  6. Step 6: Final answer
    x = 248,971.06

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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.