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Finding the Fourth Proportional to 418,442, 627,309.20 and 181,606.64

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Solution

The fourth proportional to 418,442, 627,309.20 and 181,606.64 is: 272,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,442 : 627,309.20 = 181,606.64 : x
  2. Step 2: Convert to fraction form
    418,442/627,309.20 = 181,606.64/x
  3. Step 3: Cross multiply
    418,442x = 627,309.20 × 181,606.64
  4. Step 4: Simplify right side
    418,442x = 113,923,516,053.09
  5. Step 5: Solve for x
    x = 113,923,516,053.09/418,442
  6. Step 6: Final answer
    x = 272,256.41

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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.