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Finding the Fourth Proportional to 342,290.64, 472,377.72 and 189,328.21

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Solution

The fourth proportional to 342,290.64, 472,377.72 and 189,328.21 is: 261,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,290.64 : 472,377.72 = 189,328.21 : x
  2. Step 2: Convert to fraction form
    342,290.64/472,377.72 = 189,328.21/x
  3. Step 3: Cross multiply
    342,290.64x = 472,377.72 × 189,328.21
  4. Step 4: Simplify right side
    342,290.64x = 89,434,428,171.48
  5. Step 5: Solve for x
    x = 89,434,428,171.48/342,290.64
  6. Step 6: Final answer
    x = 261,282.13

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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.