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Finding the Fourth Proportional to 565,211.52, 779,989.68 and 323,493.12

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Solution

The fourth proportional to 565,211.52, 779,989.68 and 323,493.12 is: 446,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,211.52 : 779,989.68 = 323,493.12 : x
  2. Step 2: Convert to fraction form
    565,211.52/779,989.68 = 323,493.12/x
  3. Step 3: Cross multiply
    565,211.52x = 779,989.68 × 323,493.12
  4. Step 4: Simplify right side
    565,211.52x = 252,321,295,151.00
  5. Step 5: Solve for x
    x = 252,321,295,151.00/565,211.52
  6. Step 6: Final answer
    x = 446,419.24

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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.