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Finding the Fourth Proportional to 342,715.68, 472,962.41 and 189,753.86

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Solution

The fourth proportional to 342,715.68, 472,962.41 and 189,753.86 is: 261,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,715.68 : 472,962.41 = 189,753.86 : x
  2. Step 2: Convert to fraction form
    342,715.68/472,962.41 = 189,753.86/x
  3. Step 3: Cross multiply
    342,715.68x = 472,962.41 × 189,753.86
  4. Step 4: Simplify right side
    342,715.68x = 89,746,439,618.82
  5. Step 5: Solve for x
    x = 89,746,439,618.82/342,715.68
  6. Step 6: Final answer
    x = 261,868.50

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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.