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Finding the Fourth Proportional to 565,287.30, 780,139.86 and 323,645.66

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Solution

The fourth proportional to 565,287.30, 780,139.86 and 323,645.66 is: 446,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,287.30 : 780,139.86 = 323,645.66 : x
  2. Step 2: Convert to fraction form
    565,287.30/780,139.86 = 323,645.66/x
  3. Step 3: Cross multiply
    565,287.30x = 780,139.86 × 323,645.66
  4. Step 4: Simplify right side
    565,287.30x = 252,488,879,882.01
  5. Step 5: Solve for x
    x = 252,488,879,882.01/565,287.30
  6. Step 6: Final answer
    x = 446,655.85

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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.