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Finding the Fourth Proportional to 678,758.80, 1,018,253.40 and 205,440.40

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Solution

The fourth proportional to 678,758.80, 1,018,253.40 and 205,440.40 is: 308,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,758.80 : 1,018,253.40 = 205,440.40 : x
  2. Step 2: Convert to fraction form
    678,758.80/1,018,253.40 = 205,440.40/x
  3. Step 3: Cross multiply
    678,758.80x = 1,018,253.40 × 205,440.40
  4. Step 4: Simplify right side
    678,758.80x = 209,190,385,797.36
  5. Step 5: Solve for x
    x = 209,190,385,797.36/678,758.80
  6. Step 6: Final answer
    x = 308,195.47

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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.