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Finding the Fourth Proportional to 310,486, 428,470.68 and 169,174

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Solution

The fourth proportional to 310,486, 428,470.68 and 169,174 is: 233,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,486 : 428,470.68 = 169,174 : x
  2. Step 2: Convert to fraction form
    310,486/428,470.68 = 169,174/x
  3. Step 3: Cross multiply
    310,486x = 428,470.68 × 169,174
  4. Step 4: Simplify right side
    310,486x = 72,486,098,818.32
  5. Step 5: Solve for x
    x = 72,486,098,818.32/310,486
  6. Step 6: Final answer
    x = 233,460.12

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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.