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Finding the Fourth Proportional to 252,000.40, 378,000.60 and 205,344.40

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Solution

The fourth proportional to 252,000.40, 378,000.60 and 205,344.40 is: 308,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,000.40 : 378,000.60 = 205,344.40 : x
  2. Step 2: Convert to fraction form
    252,000.40/378,000.60 = 205,344.40/x
  3. Step 3: Cross multiply
    252,000.40x = 378,000.60 × 205,344.40
  4. Step 4: Simplify right side
    252,000.40x = 77,620,306,406.64
  5. Step 5: Solve for x
    x = 77,620,306,406.64/252,000.40
  6. Step 6: Final answer
    x = 308,016.60

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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.