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Finding the Fourth Proportional to 310,448, 428,418.78 and 176,312

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Solution

The fourth proportional to 310,448, 428,418.78 and 176,312 is: 243,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448 : 428,418.78 = 176,312 : x
  2. Step 2: Convert to fraction form
    310,448/428,418.78 = 176,312/x
  3. Step 3: Cross multiply
    310,448x = 428,418.78 × 176,312
  4. Step 4: Simplify right side
    310,448x = 75,535,371,939.36
  5. Step 5: Solve for x
    x = 75,535,371,939.36/310,448
  6. Step 6: Final answer
    x = 243,310.87

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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.