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Finding the Fourth Proportional to 417,968.64, 627,043.68 and 137,475.36

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Solution

The fourth proportional to 417,968.64, 627,043.68 and 137,475.36 is: 206,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,968.64 : 627,043.68 = 137,475.36 : x
  2. Step 2: Convert to fraction form
    417,968.64/627,043.68 = 137,475.36/x
  3. Step 3: Cross multiply
    417,968.64x = 627,043.68 × 137,475.36
  4. Step 4: Simplify right side
    417,968.64x = 86,203,055,643.72
  5. Step 5: Solve for x
    x = 86,203,055,643.72/417,968.64
  6. Step 6: Final answer
    x = 206,242.88

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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.