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Finding the Fourth Proportional to 565,565.80, 780,469.14 and 339,284.20

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Solution

The fourth proportional to 565,565.80, 780,469.14 and 339,284.20 is: 468,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,565.80 : 780,469.14 = 339,284.20 : x
  2. Step 2: Convert to fraction form
    565,565.80/780,469.14 = 339,284.20/x
  3. Step 3: Cross multiply
    565,565.80x = 780,469.14 × 339,284.20
  4. Step 4: Simplify right side
    565,565.80x = 264,800,847,789.59
  5. Step 5: Solve for x
    x = 264,800,847,789.59/565,565.80
  6. Step 6: Final answer
    x = 468,205.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.