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Finding the Fourth Proportional to 521,317.60, 781,820.40 and 271,863.52

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Solution

The fourth proportional to 521,317.60, 781,820.40 and 271,863.52 is: 407,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,317.60 : 781,820.40 = 271,863.52 : x
  2. Step 2: Convert to fraction form
    521,317.60/781,820.40 = 271,863.52/x
  3. Step 3: Cross multiply
    521,317.60x = 781,820.40 × 271,863.52
  4. Step 4: Simplify right side
    521,317.60x = 212,548,445,951.81
  5. Step 5: Solve for x
    x = 212,548,445,951.81/521,317.60
  6. Step 6: Final answer
    x = 407,713.93

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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.