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Finding the Fourth Proportional to 408,670.12, 612,208.14 and 230,638.60

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Solution

The fourth proportional to 408,670.12, 612,208.14 and 230,638.60 is: 345,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,670.12 : 612,208.14 = 230,638.60 : x
  2. Step 2: Convert to fraction form
    408,670.12/612,208.14 = 230,638.60/x
  3. Step 3: Cross multiply
    408,670.12x = 612,208.14 × 230,638.60
  4. Step 4: Simplify right side
    408,670.12x = 141,198,828,318.20
  5. Step 5: Solve for x
    x = 141,198,828,318.20/408,670.12
  6. Step 6: Final answer
    x = 345,508.08

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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.