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Finding the Fourth Proportional to 485,065.06, 727,597.59 and 185,637.42

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Solution

The fourth proportional to 485,065.06, 727,597.59 and 185,637.42 is: 278,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,065.06 : 727,597.59 = 185,637.42 : x
  2. Step 2: Convert to fraction form
    485,065.06/727,597.59 = 185,637.42/x
  3. Step 3: Cross multiply
    485,065.06x = 727,597.59 × 185,637.42
  4. Step 4: Simplify right side
    485,065.06x = 135,069,338,709.68
  5. Step 5: Solve for x
    x = 135,069,338,709.68/485,065.06
  6. Step 6: Final answer
    x = 278,456.13

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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.