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Finding the Fourth Proportional to 679,205.76, 1,019,022 and 280,034.40

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Solution

The fourth proportional to 679,205.76, 1,019,022 and 280,034.40 is: 420,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,205.76 : 1,019,022 = 280,034.40 : x
  2. Step 2: Convert to fraction form
    679,205.76/1,019,022 = 280,034.40/x
  3. Step 3: Cross multiply
    679,205.76x = 1,019,022 × 280,034.40
  4. Step 4: Simplify right side
    679,205.76x = 285,361,214,356.80
  5. Step 5: Solve for x
    x = 285,361,214,356.80/679,205.76
  6. Step 6: Final answer
    x = 420,139.57

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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.