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Finding the Fourth Proportional to 408,445.13, 612,750.69 and 142,226.39

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Solution

The fourth proportional to 408,445.13, 612,750.69 and 142,226.39 is: 213,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,445.13 : 612,750.69 = 142,226.39 : x
  2. Step 2: Convert to fraction form
    408,445.13/612,750.69 = 142,226.39/x
  3. Step 3: Cross multiply
    408,445.13x = 612,750.69 × 142,226.39
  4. Step 4: Simplify right side
    408,445.13x = 87,149,315,544.96
  5. Step 5: Solve for x
    x = 87,149,315,544.96/408,445.13
  6. Step 6: Final answer
    x = 213,368.48

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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.