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Finding the Fourth Proportional to 310,326.78, 428,251.32 and 176,190.78

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Solution

The fourth proportional to 310,326.78, 428,251.32 and 176,190.78 is: 243,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.78 : 428,251.32 = 176,190.78 : x
  2. Step 2: Convert to fraction form
    310,326.78/428,251.32 = 176,190.78/x
  3. Step 3: Cross multiply
    310,326.78x = 428,251.32 × 176,190.78
  4. Step 4: Simplify right side
    310,326.78x = 75,453,934,106.83
  5. Step 5: Solve for x
    x = 75,453,934,106.83/310,326.78
  6. Step 6: Final answer
    x = 243,143.48

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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.