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Finding the Fourth Proportional to 521,006.40, 781,768.80 and 296,539.20

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Solution

The fourth proportional to 521,006.40, 781,768.80 and 296,539.20 is: 444,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,006.40 : 781,768.80 = 296,539.20 : x
  2. Step 2: Convert to fraction form
    521,006.40/781,768.80 = 296,539.20/x
  3. Step 3: Cross multiply
    521,006.40x = 781,768.80 × 296,539.20
  4. Step 4: Simplify right side
    521,006.40x = 231,825,094,536.96
  5. Step 5: Solve for x
    x = 231,825,094,536.96/521,006.40
  6. Step 6: Final answer
    x = 444,956.33

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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.