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Finding the Fourth Proportional to 579,532.80, 869,488.56 and 280,047.84

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Solution

The fourth proportional to 579,532.80, 869,488.56 and 280,047.84 is: 420,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,532.80 : 869,488.56 = 280,047.84 : x
  2. Step 2: Convert to fraction form
    579,532.80/869,488.56 = 280,047.84/x
  3. Step 3: Cross multiply
    579,532.80x = 869,488.56 × 280,047.84
  4. Step 4: Simplify right side
    579,532.80x = 243,498,393,132.71
  5. Step 5: Solve for x
    x = 243,498,393,132.71/579,532.80
  6. Step 6: Final answer
    x = 420,163.26

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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.