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Finding the Fourth Proportional to 472,085.76, 708,337.93 and 247,392.78

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Solution

The fourth proportional to 472,085.76, 708,337.93 and 247,392.78 is: 371,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,085.76 : 708,337.93 = 247,392.78 : x
  2. Step 2: Convert to fraction form
    472,085.76/708,337.93 = 247,392.78/x
  3. Step 3: Cross multiply
    472,085.76x = 708,337.93 × 247,392.78
  4. Step 4: Simplify right side
    472,085.76x = 175,237,689,682.15
  5. Step 5: Solve for x
    x = 175,237,689,682.15/472,085.76
  6. Step 6: Final answer
    x = 371,198.85

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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.