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Finding the Fourth Proportional to 431,218.88, 646,897.44 and 181,937.60

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Solution

The fourth proportional to 431,218.88, 646,897.44 and 181,937.60 is: 272,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,218.88 : 646,897.44 = 181,937.60 : x
  2. Step 2: Convert to fraction form
    431,218.88/646,897.44 = 181,937.60/x
  3. Step 3: Cross multiply
    431,218.88x = 646,897.44 × 181,937.60
  4. Step 4: Simplify right side
    431,218.88x = 117,694,967,679.74
  5. Step 5: Solve for x
    x = 117,694,967,679.74/431,218.88
  6. Step 6: Final answer
    x = 272,935.56

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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.