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Finding the Fourth Proportional to 342,148.88, 472,151.40 and 189,177.32

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Solution

The fourth proportional to 342,148.88, 472,151.40 and 189,177.32 is: 261,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,148.88 : 472,151.40 = 189,177.32 : x
  2. Step 2: Convert to fraction form
    342,148.88/472,151.40 = 189,177.32/x
  3. Step 3: Cross multiply
    342,148.88x = 472,151.40 × 189,177.32
  4. Step 4: Simplify right side
    342,148.88x = 89,320,336,486.25
  5. Step 5: Solve for x
    x = 89,320,336,486.25/342,148.88
  6. Step 6: Final answer
    x = 261,056.93

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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.