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Finding the Fourth Proportional to 408,071.60, 612,107.40 and 258,480.80

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Solution

The fourth proportional to 408,071.60, 612,107.40 and 258,480.80 is: 387,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071.60 : 612,107.40 = 258,480.80 : x
  2. Step 2: Convert to fraction form
    408,071.60/612,107.40 = 258,480.80/x
  3. Step 3: Cross multiply
    408,071.60x = 612,107.40 × 258,480.80
  4. Step 4: Simplify right side
    408,071.60x = 158,218,010,437.92
  5. Step 5: Solve for x
    x = 158,218,010,437.92/408,071.60
  6. Step 6: Final answer
    x = 387,721.20

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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.