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Finding the Fourth Proportional to 418,444, 627,312.20 and 181,608.64

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Solution

The fourth proportional to 418,444, 627,312.20 and 181,608.64 is: 272,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,444 : 627,312.20 = 181,608.64 : x
  2. Step 2: Convert to fraction form
    418,444/627,312.20 = 181,608.64/x
  3. Step 3: Cross multiply
    418,444x = 627,312.20 × 181,608.64
  4. Step 4: Simplify right side
    418,444x = 113,925,315,497.41
  5. Step 5: Solve for x
    x = 113,925,315,497.41/418,444
  6. Step 6: Final answer
    x = 272,259.41

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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.