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Finding the Fourth Proportional to 472,098.20, 708,356.61 and 247,405.21

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Solution

The fourth proportional to 472,098.20, 708,356.61 and 247,405.21 is: 371,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,098.20 : 708,356.61 = 247,405.21 : x
  2. Step 2: Convert to fraction form
    472,098.20/708,356.61 = 247,405.21/x
  3. Step 3: Cross multiply
    472,098.20x = 708,356.61 × 247,405.21
  4. Step 4: Simplify right side
    472,098.20x = 175,251,117,004.32
  5. Step 5: Solve for x
    x = 175,251,117,004.32/472,098.20
  6. Step 6: Final answer
    x = 371,217.51

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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.