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Finding the Fourth Proportional to 417,775.20, 627,008.40 and 193,480.80

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Solution

The fourth proportional to 417,775.20, 627,008.40 and 193,480.80 is: 290,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,775.20 : 627,008.40 = 193,480.80 : x
  2. Step 2: Convert to fraction form
    417,775.20/627,008.40 = 193,480.80/x
  3. Step 3: Cross multiply
    417,775.20x = 627,008.40 × 193,480.80
  4. Step 4: Simplify right side
    417,775.20x = 121,314,086,838.72
  5. Step 5: Solve for x
    x = 121,314,086,838.72/417,775.20
  6. Step 6: Final answer
    x = 290,381.25

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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.