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Finding the Fourth Proportional to 310,326.76, 428,251.32 and 176,190.76

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Solution

The fourth proportional to 310,326.76, 428,251.32 and 176,190.76 is: 243,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.76 : 428,251.32 = 176,190.76 : x
  2. Step 2: Convert to fraction form
    310,326.76/428,251.32 = 176,190.76/x
  3. Step 3: Cross multiply
    310,326.76x = 428,251.32 × 176,190.76
  4. Step 4: Simplify right side
    310,326.76x = 75,453,925,541.80
  5. Step 5: Solve for x
    x = 75,453,925,541.80/310,326.76
  6. Step 6: Final answer
    x = 243,143.47

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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.