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Finding the Fourth Proportional to 472,120.70, 708,390.28 and 247,427.66

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Solution

The fourth proportional to 472,120.70, 708,390.28 and 247,427.66 is: 371,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,120.70 : 708,390.28 = 247,427.66 : x
  2. Step 2: Convert to fraction form
    472,120.70/708,390.28 = 247,427.66/x
  3. Step 3: Cross multiply
    472,120.70x = 708,390.28 × 247,427.66
  4. Step 4: Simplify right side
    472,120.70x = 175,275,349,347.15
  5. Step 5: Solve for x
    x = 175,275,349,347.15/472,120.70
  6. Step 6: Final answer
    x = 371,251.14

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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.