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Finding the Fourth Proportional to 342,718.68, 472,966.56 and 189,756.86

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Solution

The fourth proportional to 342,718.68, 472,966.56 and 189,756.86 is: 261,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,718.68 : 472,966.56 = 189,756.86 : x
  2. Step 2: Convert to fraction form
    342,718.68/472,966.56 = 189,756.86/x
  3. Step 3: Cross multiply
    342,718.68x = 472,966.56 × 189,756.86
  4. Step 4: Simplify right side
    342,718.68x = 89,748,649,310.60
  5. Step 5: Solve for x
    x = 89,748,649,310.60/342,718.68
  6. Step 6: Final answer
    x = 261,872.65

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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.