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Finding the Fourth Proportional to 310,740, 428,821.68 and 176,604

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Solution

The fourth proportional to 310,740, 428,821.68 and 176,604 is: 243,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,740 : 428,821.68 = 176,604 : x
  2. Step 2: Convert to fraction form
    310,740/428,821.68 = 176,604/x
  3. Step 3: Cross multiply
    310,740x = 428,821.68 × 176,604
  4. Step 4: Simplify right side
    310,740x = 75,731,623,974.72
  5. Step 5: Solve for x
    x = 75,731,623,974.72/310,740
  6. Step 6: Final answer
    x = 243,713.79

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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.