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Finding the Fourth Proportional to 527,422.32, 727,846.32 and 285,704.92

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Solution

The fourth proportional to 527,422.32, 727,846.32 and 285,704.92 is: 394,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,422.32 : 727,846.32 = 285,704.92 : x
  2. Step 2: Convert to fraction form
    527,422.32/727,846.32 = 285,704.92/x
  3. Step 3: Cross multiply
    527,422.32x = 727,846.32 × 285,704.92
  4. Step 4: Simplify right side
    527,422.32x = 207,949,274,627.89
  5. Step 5: Solve for x
    x = 207,949,274,627.89/527,422.32
  6. Step 6: Final answer
    x = 394,274.70

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1.5x scale

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.