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Finding the Fourth Proportional to 261,575.48, 360,961.80 and 145,296.47

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Solution

The fourth proportional to 261,575.48, 360,961.80 and 145,296.47 is: 200,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,575.48 : 360,961.80 = 145,296.47 : x
  2. Step 2: Convert to fraction form
    261,575.48/360,961.80 = 145,296.47/x
  3. Step 3: Cross multiply
    261,575.48x = 360,961.80 × 145,296.47
  4. Step 4: Simplify right side
    261,575.48x = 52,446,473,540.04
  5. Step 5: Solve for x
    x = 52,446,473,540.04/261,575.48
  6. Step 6: Final answer
    x = 200,502.26

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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.