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Finding the Fourth Proportional to 342,714.85, 472,931.06 and 189,742.30

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Solution

The fourth proportional to 342,714.85, 472,931.06 and 189,742.30 is: 261,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,714.85 : 472,931.06 = 189,742.30 : x
  2. Step 2: Convert to fraction form
    342,714.85/472,931.06 = 189,742.30/x
  3. Step 3: Cross multiply
    342,714.85x = 472,931.06 × 189,742.30
  4. Step 4: Simplify right side
    342,714.85x = 89,735,024,934.80
  5. Step 5: Solve for x
    x = 89,735,024,934.80/342,714.85
  6. Step 6: Final answer
    x = 261,835.83

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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.