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Finding the Fourth Proportional to 310,192.32, 428,061.60 and 176,047.68

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Solution

The fourth proportional to 310,192.32, 428,061.60 and 176,047.68 is: 242,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,192.32 : 428,061.60 = 176,047.68 : x
  2. Step 2: Convert to fraction form
    310,192.32/428,061.60 = 176,047.68/x
  3. Step 3: Cross multiply
    310,192.32x = 428,061.60 × 176,047.68
  4. Step 4: Simplify right side
    310,192.32x = 75,359,251,577.09
  5. Step 5: Solve for x
    x = 75,359,251,577.09/310,192.32
  6. Step 6: Final answer
    x = 242,943.64

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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.