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Finding the Fourth Proportional to 781,548, 1,078,536.24 and 442,008.96

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Solution

The fourth proportional to 781,548, 1,078,536.24 and 442,008.96 is: 609,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,548 : 1,078,536.24 = 442,008.96 : x
  2. Step 2: Convert to fraction form
    781,548/1,078,536.24 = 442,008.96/x
  3. Step 3: Cross multiply
    781,548x = 1,078,536.24 × 442,008.96
  4. Step 4: Simplify right side
    781,548x = 476,722,681,764.71
  5. Step 5: Solve for x
    x = 476,722,681,764.71/781,548
  6. Step 6: Final answer
    x = 609,972.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.