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Finding the Fourth Proportional to 427,037.45, 640,734.08 and 187,323.53

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Solution

The fourth proportional to 427,037.45, 640,734.08 and 187,323.53 is: 281,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,037.45 : 640,734.08 = 187,323.53 : x
  2. Step 2: Convert to fraction form
    427,037.45/640,734.08 = 187,323.53/x
  3. Step 3: Cross multiply
    427,037.45x = 640,734.08 × 187,323.53
  4. Step 4: Simplify right side
    427,037.45x = 120,024,565,516.61
  5. Step 5: Solve for x
    x = 120,024,565,516.61/427,037.45
  6. Step 6: Final answer
    x = 281,063.33

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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.