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Finding the Fourth Proportional to 342,288.74, 472,354.41 and 189,314.92

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Solution

The fourth proportional to 342,288.74, 472,354.41 and 189,314.92 is: 261,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,288.74 : 472,354.41 = 189,314.92 : x
  2. Step 2: Convert to fraction form
    342,288.74/472,354.41 = 189,314.92/x
  3. Step 3: Cross multiply
    342,288.74x = 472,354.41 × 189,314.92
  4. Step 4: Simplify right side
    342,288.74x = 89,423,738,108.72
  5. Step 5: Solve for x
    x = 89,423,738,108.72/342,288.74
  6. Step 6: Final answer
    x = 261,252.35

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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.