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Finding the Fourth Proportional to 342,219.81, 472,266.47 and 189,250.10

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Solution

The fourth proportional to 342,219.81, 472,266.47 and 189,250.10 is: 261,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,219.81 : 472,266.47 = 189,250.10 : x
  2. Step 2: Convert to fraction form
    342,219.81/472,266.47 = 189,250.10/x
  3. Step 3: Cross multiply
    342,219.81x = 472,266.47 × 189,250.10
  4. Step 4: Simplify right side
    342,219.81x = 89,376,474,785.94
  5. Step 5: Solve for x
    x = 89,376,474,785.94/342,219.81
  6. Step 6: Final answer
    x = 261,166.86

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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.