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Finding the Fourth Proportional to 411,143.22, 567,390.14 and 229,862.78

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Solution

The fourth proportional to 411,143.22, 567,390.14 and 229,862.78 is: 317,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,143.22 : 567,390.14 = 229,862.78 : x
  2. Step 2: Convert to fraction form
    411,143.22/567,390.14 = 229,862.78/x
  3. Step 3: Cross multiply
    411,143.22x = 567,390.14 × 229,862.78
  4. Step 4: Simplify right side
    411,143.22x = 130,421,874,924.99
  5. Step 5: Solve for x
    x = 130,421,874,924.99/411,143.22
  6. Step 6: Final answer
    x = 317,217.62

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