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Finding the Fourth Proportional to 310,685.76, 428,722.20 and 174,694.32

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Solution

The fourth proportional to 310,685.76, 428,722.20 and 174,694.32 is: 241,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,685.76 : 428,722.20 = 174,694.32 : x
  2. Step 2: Convert to fraction form
    310,685.76/428,722.20 = 174,694.32/x
  3. Step 3: Cross multiply
    310,685.76x = 428,722.20 × 174,694.32
  4. Step 4: Simplify right side
    310,685.76x = 74,895,333,197.90
  5. Step 5: Solve for x
    x = 74,895,333,197.90/310,685.76
  6. Step 6: Final answer
    x = 241,064.58

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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.