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Finding the Fourth Proportional to 541,689.36, 812,609.70 and 226,074

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Solution

The fourth proportional to 541,689.36, 812,609.70 and 226,074 is: 339,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,689.36 : 812,609.70 = 226,074 : x
  2. Step 2: Convert to fraction form
    541,689.36/812,609.70 = 226,074/x
  3. Step 3: Cross multiply
    541,689.36x = 812,609.70 × 226,074
  4. Step 4: Simplify right side
    541,689.36x = 183,709,925,317.80
  5. Step 5: Solve for x
    x = 183,709,925,317.80/541,689.36
  6. Step 6: Final answer
    x = 339,142.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.