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Finding the Fourth Proportional to 521,313.60, 781,814.40 and 271,859.52

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Solution

The fourth proportional to 521,313.60, 781,814.40 and 271,859.52 is: 407,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,313.60 : 781,814.40 = 271,859.52 : x
  2. Step 2: Convert to fraction form
    521,313.60/781,814.40 = 271,859.52/x
  3. Step 3: Cross multiply
    521,313.60x = 781,814.40 × 271,859.52
  4. Step 4: Simplify right side
    521,313.60x = 212,543,687,513.09
  5. Step 5: Solve for x
    x = 212,543,687,513.09/521,313.60
  6. Step 6: Final answer
    x = 407,707.93

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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.