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Finding the Fourth Proportional to 295,077.20, 442,759.80 and 137,224.40

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Solution

The fourth proportional to 295,077.20, 442,759.80 and 137,224.40 is: 205,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,077.20 : 442,759.80 = 137,224.40 : x
  2. Step 2: Convert to fraction form
    295,077.20/442,759.80 = 137,224.40/x
  3. Step 3: Cross multiply
    295,077.20x = 442,759.80 × 137,224.40
  4. Step 4: Simplify right side
    295,077.20x = 60,757,447,899.12
  5. Step 5: Solve for x
    x = 60,757,447,899.12/295,077.20
  6. Step 6: Final answer
    x = 205,903.57

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1.5x scale

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.