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Finding the Fourth Proportional to 310,453, 428,425.68 and 176,317

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Solution

The fourth proportional to 310,453, 428,425.68 and 176,317 is: 243,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,453 : 428,425.68 = 176,317 : x
  2. Step 2: Convert to fraction form
    310,453/428,425.68 = 176,317/x
  3. Step 3: Cross multiply
    310,453x = 428,425.68 × 176,317
  4. Step 4: Simplify right side
    310,453x = 75,538,730,620.56
  5. Step 5: Solve for x
    x = 75,538,730,620.56/310,453
  6. Step 6: Final answer
    x = 243,317.77

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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.