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Finding the Fourth Proportional to 870,408, 1,305,799.20 and 271,356.48

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Solution

The fourth proportional to 870,408, 1,305,799.20 and 271,356.48 is: 407,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,408 : 1,305,799.20 = 271,356.48 : x
  2. Step 2: Convert to fraction form
    870,408/1,305,799.20 = 271,356.48/x
  3. Step 3: Cross multiply
    870,408x = 1,305,799.20 × 271,356.48
  4. Step 4: Simplify right side
    870,408x = 354,337,074,498.82
  5. Step 5: Solve for x
    x = 354,337,074,498.82/870,408
  6. Step 6: Final answer
    x = 407,093.08

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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.