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Finding the Fourth Proportional to 486,458.60, 726,494.07 and 414,615.65

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Solution

The fourth proportional to 486,458.60, 726,494.07 and 414,615.65 is: 619,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,458.60 : 726,494.07 = 414,615.65 : x
  2. Step 2: Convert to fraction form
    486,458.60/726,494.07 = 414,615.65/x
  3. Step 3: Cross multiply
    486,458.60x = 726,494.07 × 414,615.65
  4. Step 4: Simplify right side
    486,458.60x = 301,215,812,870.43
  5. Step 5: Solve for x
    x = 301,215,812,870.43/486,458.60
  6. Step 6: Final answer
    x = 619,201.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.