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Finding the Fourth Proportional to 408,145.14, 612,057.60 and 155,291.40

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Solution

The fourth proportional to 408,145.14, 612,057.60 and 155,291.40 is: 232,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,145.14 : 612,057.60 = 155,291.40 : x
  2. Step 2: Convert to fraction form
    408,145.14/612,057.60 = 155,291.40/x
  3. Step 3: Cross multiply
    408,145.14x = 612,057.60 × 155,291.40
  4. Step 4: Simplify right side
    408,145.14x = 95,047,281,584.64
  5. Step 5: Solve for x
    x = 95,047,281,584.64/408,145.14
  6. Step 6: Final answer
    x = 232,876.18

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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.