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Finding the Fourth Proportional to 522,643.98, 721,557.87 and 329,217.50

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Solution

The fourth proportional to 522,643.98, 721,557.87 and 329,217.50 is: 454,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,643.98 : 721,557.87 = 329,217.50 : x
  2. Step 2: Convert to fraction form
    522,643.98/721,557.87 = 329,217.50/x
  3. Step 3: Cross multiply
    522,643.98x = 721,557.87 × 329,217.50
  4. Step 4: Simplify right side
    522,643.98x = 237,549,476,429.14
  5. Step 5: Solve for x
    x = 237,549,476,429.14/522,643.98
  6. Step 6: Final answer
    x = 454,514.90

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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.