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Finding the Fourth Proportional to 490,261.95, 735,435.30 and 135,275.97

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Solution

The fourth proportional to 490,261.95, 735,435.30 and 135,275.97 is: 202,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,261.95 : 735,435.30 = 135,275.97 : x
  2. Step 2: Convert to fraction form
    490,261.95/735,435.30 = 135,275.97/x
  3. Step 3: Cross multiply
    490,261.95x = 735,435.30 × 135,275.97
  4. Step 4: Simplify right side
    490,261.95x = 99,486,726,940.02
  5. Step 5: Solve for x
    x = 99,486,726,940.02/490,261.95
  6. Step 6: Final answer
    x = 202,925.65

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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.