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Finding the Fourth Proportional to 308,729.46, 426,069.54 and 172,777.02

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Solution

The fourth proportional to 308,729.46, 426,069.54 and 172,777.02 is: 238,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,729.46 : 426,069.54 = 172,777.02 : x
  2. Step 2: Convert to fraction form
    308,729.46/426,069.54 = 172,777.02/x
  3. Step 3: Cross multiply
    308,729.46x = 426,069.54 × 172,777.02
  4. Step 4: Simplify right side
    308,729.46x = 73,615,025,433.97
  5. Step 5: Solve for x
    x = 73,615,025,433.97/308,729.46
  6. Step 6: Final answer
    x = 238,445.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.