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Finding the Fourth Proportional to 408,271.08, 612,507.08 and 142,033.90

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Solution

The fourth proportional to 408,271.08, 612,507.08 and 142,033.90 is: 213,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,271.08 : 612,507.08 = 142,033.90 : x
  2. Step 2: Convert to fraction form
    408,271.08/612,507.08 = 142,033.90/x
  3. Step 3: Cross multiply
    408,271.08x = 612,507.08 × 142,033.90
  4. Step 4: Simplify right side
    408,271.08x = 86,996,769,350.01
  5. Step 5: Solve for x
    x = 86,996,769,350.01/408,271.08
  6. Step 6: Final answer
    x = 213,085.80

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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.