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Finding the Fourth Proportional to 404,257.60, 606,386.40 and 137,978.20

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Solution

The fourth proportional to 404,257.60, 606,386.40 and 137,978.20 is: 206,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,257.60 : 606,386.40 = 137,978.20 : x
  2. Step 2: Convert to fraction form
    404,257.60/606,386.40 = 137,978.20/x
  3. Step 3: Cross multiply
    404,257.60x = 606,386.40 × 137,978.20
  4. Step 4: Simplify right side
    404,257.60x = 83,668,103,976.48
  5. Step 5: Solve for x
    x = 83,668,103,976.48/404,257.60
  6. Step 6: Final answer
    x = 206,967.30

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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.