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Finding the Fourth Proportional to 472,508.25, 708,871.05 and 148,278.39

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Solution

The fourth proportional to 472,508.25, 708,871.05 and 148,278.39 is: 222,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,508.25 : 708,871.05 = 148,278.39 : x
  2. Step 2: Convert to fraction form
    472,508.25/708,871.05 = 148,278.39/x
  3. Step 3: Cross multiply
    472,508.25x = 708,871.05 × 148,278.39
  4. Step 4: Simplify right side
    472,508.25x = 105,110,258,011.61
  5. Step 5: Solve for x
    x = 105,110,258,011.61/472,508.25
  6. Step 6: Final answer
    x = 222,451.69

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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.