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Finding the Fourth Proportional to 485,097.80, 727,646.70 and 169,521.80

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Solution

The fourth proportional to 485,097.80, 727,646.70 and 169,521.80 is: 254,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,097.80 : 727,646.70 = 169,521.80 : x
  2. Step 2: Convert to fraction form
    485,097.80/727,646.70 = 169,521.80/x
  3. Step 3: Cross multiply
    485,097.80x = 727,646.70 × 169,521.80
  4. Step 4: Simplify right side
    485,097.80x = 123,351,978,348.06
  5. Step 5: Solve for x
    x = 123,351,978,348.06/485,097.80
  6. Step 6: Final answer
    x = 254,282.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.