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Finding the Fourth Proportional to 342,151.52, 472,159.24 and 189,187.04

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Solution

The fourth proportional to 342,151.52, 472,159.24 and 189,187.04 is: 261,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,151.52 : 472,159.24 = 189,187.04 : x
  2. Step 2: Convert to fraction form
    342,151.52/472,159.24 = 189,187.04/x
  3. Step 3: Cross multiply
    342,151.52x = 472,159.24 × 189,187.04
  4. Step 4: Simplify right side
    342,151.52x = 89,326,409,024.25
  5. Step 5: Solve for x
    x = 89,326,409,024.25/342,151.52
  6. Step 6: Final answer
    x = 261,072.66

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1.5x scale

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.