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Finding the Fourth Proportional to 431,208.76, 646,902.74 and 181,892.92

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Solution

The fourth proportional to 431,208.76, 646,902.74 and 181,892.92 is: 272,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,208.76 : 646,902.74 = 181,892.92 : x
  2. Step 2: Convert to fraction form
    431,208.76/646,902.74 = 181,892.92/x
  3. Step 3: Cross multiply
    431,208.76x = 646,902.74 × 181,892.92
  4. Step 4: Simplify right side
    431,208.76x = 117,667,028,334.60
  5. Step 5: Solve for x
    x = 117,667,028,334.60/431,208.76
  6. Step 6: Final answer
    x = 272,877.18

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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.