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Finding the Fourth Proportional to 677,999.80, 1,016,999.70 and 412,281.40

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Solution

The fourth proportional to 677,999.80, 1,016,999.70 and 412,281.40 is: 618,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,999.80 : 1,016,999.70 = 412,281.40 : x
  2. Step 2: Convert to fraction form
    677,999.80/1,016,999.70 = 412,281.40/x
  3. Step 3: Cross multiply
    677,999.80x = 1,016,999.70 × 412,281.40
  4. Step 4: Simplify right side
    677,999.80x = 419,290,060,115.58
  5. Step 5: Solve for x
    x = 419,290,060,115.58/677,999.80
  6. Step 6: Final answer
    x = 618,422.10

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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.