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Finding the Fourth Proportional to 417,928.40, 626,993.40 and 137,430.80

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Solution

The fourth proportional to 417,928.40, 626,993.40 and 137,430.80 is: 206,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,928.40 : 626,993.40 = 137,430.80 : x
  2. Step 2: Convert to fraction form
    417,928.40/626,993.40 = 137,430.80/x
  3. Step 3: Cross multiply
    417,928.40x = 626,993.40 × 137,430.80
  4. Step 4: Simplify right side
    417,928.40x = 86,168,204,556.72
  5. Step 5: Solve for x
    x = 86,168,204,556.72/417,928.40
  6. Step 6: Final answer
    x = 206,179.35

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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.