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Finding the Fourth Proportional to 431,230.88, 646,915.44 and 181,949.60

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Solution

The fourth proportional to 431,230.88, 646,915.44 and 181,949.60 is: 272,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,230.88 : 646,915.44 = 181,949.60 : x
  2. Step 2: Convert to fraction form
    431,230.88/646,915.44 = 181,949.60/x
  3. Step 3: Cross multiply
    431,230.88x = 646,915.44 × 181,949.60
  4. Step 4: Simplify right side
    431,230.88x = 117,706,005,541.82
  5. Step 5: Solve for x
    x = 117,706,005,541.82/431,230.88
  6. Step 6: Final answer
    x = 272,953.56

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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.