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Finding the Fourth Proportional to 252,482.40, 378,205.20 and 205,826.40

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Solution

The fourth proportional to 252,482.40, 378,205.20 and 205,826.40 is: 308,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,482.40 : 378,205.20 = 205,826.40 : x
  2. Step 2: Convert to fraction form
    252,482.40/378,205.20 = 205,826.40/x
  3. Step 3: Cross multiply
    252,482.40x = 378,205.20 × 205,826.40
  4. Step 4: Simplify right side
    252,482.40x = 77,844,614,777.28
  5. Step 5: Solve for x
    x = 77,844,614,777.28/252,482.40
  6. Step 6: Final answer
    x = 308,316.99

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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.