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Finding the Fourth Proportional to 408,271.33, 612,420.76 and 142,034.05

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Solution

The fourth proportional to 408,271.33, 612,420.76 and 142,034.05 is: 213,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,271.33 : 612,420.76 = 142,034.05 : x
  2. Step 2: Convert to fraction form
    408,271.33/612,420.76 = 142,034.05/x
  3. Step 3: Cross multiply
    408,271.33x = 612,420.76 × 142,034.05
  4. Step 4: Simplify right side
    408,271.33x = 86,984,600,267.25
  5. Step 5: Solve for x
    x = 86,984,600,267.25/408,271.33
  6. Step 6: Final answer
    x = 213,055.86

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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.