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Finding the Fourth Proportional to 781,272, 1,078,125.48 and 441,747.36

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Solution

The fourth proportional to 781,272, 1,078,125.48 and 441,747.36 is: 609,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,272 : 1,078,125.48 = 441,747.36 : x
  2. Step 2: Convert to fraction form
    781,272/1,078,125.48 = 441,747.36/x
  3. Step 3: Cross multiply
    781,272x = 1,078,125.48 × 441,747.36
  4. Step 4: Simplify right side
    781,272x = 476,259,084,538.73
  5. Step 5: Solve for x
    x = 476,259,084,538.73/781,272
  6. Step 6: Final answer
    x = 609,594.46

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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.