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Finding the Fourth Proportional to 492,070.40, 738,105.60 and 137,139.20

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Solution

The fourth proportional to 492,070.40, 738,105.60 and 137,139.20 is: 205,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,070.40 : 738,105.60 = 137,139.20 : x
  2. Step 2: Convert to fraction form
    492,070.40/738,105.60 = 137,139.20/x
  3. Step 3: Cross multiply
    492,070.40x = 738,105.60 × 137,139.20
  4. Step 4: Simplify right side
    492,070.40x = 101,223,211,499.52
  5. Step 5: Solve for x
    x = 101,223,211,499.52/492,070.40
  6. Step 6: Final answer
    x = 205,708.80

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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.