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Finding the Fourth Proportional to 521,660, 781,213.84 and 471,172.48

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Solution

The fourth proportional to 521,660, 781,213.84 and 471,172.48 is: 705,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,660 : 781,213.84 = 471,172.48 : x
  2. Step 2: Convert to fraction form
    521,660/781,213.84 = 471,172.48/x
  3. Step 3: Cross multiply
    521,660x = 781,213.84 × 471,172.48
  4. Step 4: Simplify right side
    521,660x = 368,086,462,403.12
  5. Step 5: Solve for x
    x = 368,086,462,403.12/521,660
  6. Step 6: Final answer
    x = 705,606.07

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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.