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Finding the Fourth Proportional to 295,059.20, 442,718.40 and 137,206.40

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Solution

The fourth proportional to 295,059.20, 442,718.40 and 137,206.40 is: 205,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,059.20 : 442,718.40 = 137,206.40 : x
  2. Step 2: Convert to fraction form
    295,059.20/442,718.40 = 137,206.40/x
  3. Step 3: Cross multiply
    295,059.20x = 442,718.40 × 137,206.40
  4. Step 4: Simplify right side
    295,059.20x = 60,743,797,877.76
  5. Step 5: Solve for x
    x = 60,743,797,877.76/295,059.20
  6. Step 6: Final answer
    x = 205,869.87

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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.