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Finding the Fourth Proportional to 310,419, 428,378.76 and 176,283

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Solution

The fourth proportional to 310,419, 428,378.76 and 176,283 is: 243,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,419 : 428,378.76 = 176,283 : x
  2. Step 2: Convert to fraction form
    310,419/428,378.76 = 176,283/x
  3. Step 3: Cross multiply
    310,419x = 428,378.76 × 176,283
  4. Step 4: Simplify right side
    310,419x = 75,515,892,949.08
  5. Step 5: Solve for x
    x = 75,515,892,949.08/310,419
  6. Step 6: Final answer
    x = 243,270.85

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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.