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Finding the Fourth Proportional to 565,065.68, 779,656.20 and 320,052.56

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Solution

The fourth proportional to 565,065.68, 779,656.20 and 320,052.56 is: 441,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,065.68 : 779,656.20 = 320,052.56 : x
  2. Step 2: Convert to fraction form
    565,065.68/779,656.20 = 320,052.56/x
  3. Step 3: Cross multiply
    565,065.68x = 779,656.20 × 320,052.56
  4. Step 4: Simplify right side
    565,065.68x = 249,530,962,729.87
  5. Step 5: Solve for x
    x = 249,530,962,729.87/565,065.68
  6. Step 6: Final answer
    x = 441,596.39

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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.