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Finding the Fourth Proportional to 261,854.63, 361,374.87 and 197,209.84

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Solution

The fourth proportional to 261,854.63, 361,374.87 and 197,209.84 is: 272,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,854.63 : 361,374.87 = 197,209.84 : x
  2. Step 2: Convert to fraction form
    261,854.63/361,374.87 = 197,209.84/x
  3. Step 3: Cross multiply
    261,854.63x = 361,374.87 × 197,209.84
  4. Step 4: Simplify right side
    261,854.63x = 71,266,680,292.72
  5. Step 5: Solve for x
    x = 71,266,680,292.72/261,854.63
  6. Step 6: Final answer
    x = 272,161.24

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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.