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Finding the Fourth Proportional to 310,366, 428,305.53 and 176,230

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Solution

The fourth proportional to 310,366, 428,305.53 and 176,230 is: 243,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,366 : 428,305.53 = 176,230 : x
  2. Step 2: Convert to fraction form
    310,366/428,305.53 = 176,230/x
  3. Step 3: Cross multiply
    310,366x = 428,305.53 × 176,230
  4. Step 4: Simplify right side
    310,366x = 75,480,283,551.90
  5. Step 5: Solve for x
    x = 75,480,283,551.90/310,366
  6. Step 6: Final answer
    x = 243,197.66

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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.