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Finding the Fourth Proportional to 408,510.90, 612,766.35 and 363,410.10

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Solution

The fourth proportional to 408,510.90, 612,766.35 and 363,410.10 is: 545,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,510.90 : 612,766.35 = 363,410.10 : x
  2. Step 2: Convert to fraction form
    408,510.90/612,766.35 = 363,410.10/x
  3. Step 3: Cross multiply
    408,510.90x = 612,766.35 × 363,410.10
  4. Step 4: Simplify right side
    408,510.90x = 222,685,480,530.14
  5. Step 5: Solve for x
    x = 222,685,480,530.14/408,510.90
  6. Step 6: Final answer
    x = 545,115.15

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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.