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Finding the Fourth Proportional to 230,015.20, 345,022.80 and 219,978.40

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Solution

The fourth proportional to 230,015.20, 345,022.80 and 219,978.40 is: 329,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,015.20 : 345,022.80 = 219,978.40 : x
  2. Step 2: Convert to fraction form
    230,015.20/345,022.80 = 219,978.40/x
  3. Step 3: Cross multiply
    230,015.20x = 345,022.80 × 219,978.40
  4. Step 4: Simplify right side
    230,015.20x = 75,897,563,507.52
  5. Step 5: Solve for x
    x = 75,897,563,507.52/230,015.20
  6. Step 6: Final answer
    x = 329,967.60

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1.5x scale

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.