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Finding the Fourth Proportional to 310,825.28, 428,963.72 and 174,851.08

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Solution

The fourth proportional to 310,825.28, 428,963.72 and 174,851.08 is: 241,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,825.28 : 428,963.72 = 174,851.08 : x
  2. Step 2: Convert to fraction form
    310,825.28/428,963.72 = 174,851.08/x
  3. Step 3: Cross multiply
    310,825.28x = 428,963.72 × 174,851.08
  4. Step 4: Simplify right side
    310,825.28x = 75,004,767,776.15
  5. Step 5: Solve for x
    x = 75,004,767,776.15/310,825.28
  6. Step 6: Final answer
    x = 241,308.45

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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.