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Finding the Fourth Proportional to 431,323.04, 646,546.25 and 178,740.95

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Solution

The fourth proportional to 431,323.04, 646,546.25 and 178,740.95 is: 267,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,323.04 : 646,546.25 = 178,740.95 : x
  2. Step 2: Convert to fraction form
    431,323.04/646,546.25 = 178,740.95/x
  3. Step 3: Cross multiply
    431,323.04x = 646,546.25 × 178,740.95
  4. Step 4: Simplify right side
    431,323.04x = 115,564,288,158.06
  5. Step 5: Solve for x
    x = 115,564,288,158.06/431,323.04
  6. Step 6: Final answer
    x = 267,929.78

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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.