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Finding the Fourth Proportional to 342,017.79, 471,966.10 and 189,046.86

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Solution

The fourth proportional to 342,017.79, 471,966.10 and 189,046.86 is: 260,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,017.79 : 471,966.10 = 189,046.86 : x
  2. Step 2: Convert to fraction form
    342,017.79/471,966.10 = 189,046.86/x
  3. Step 3: Cross multiply
    342,017.79x = 471,966.10 × 189,046.86
  4. Step 4: Simplify right side
    342,017.79x = 89,223,709,231.45
  5. Step 5: Solve for x
    x = 89,223,709,231.45/342,017.79
  6. Step 6: Final answer
    x = 260,874.47

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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.