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Finding the Fourth Proportional to 874,847, 1,207,288.86 and 472,439

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Solution

The fourth proportional to 874,847, 1,207,288.86 and 472,439 is: 651,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,847 : 1,207,288.86 = 472,439 : x
  2. Step 2: Convert to fraction form
    874,847/1,207,288.86 = 472,439/x
  3. Step 3: Cross multiply
    874,847x = 1,207,288.86 × 472,439
  4. Step 4: Simplify right side
    874,847x = 570,370,341,729.54
  5. Step 5: Solve for x
    x = 570,370,341,729.54/874,847
  6. Step 6: Final answer
    x = 651,965.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.