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Finding the Fourth Proportional to 261,586.50, 360,976.98 and 145,307.48

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Solution

The fourth proportional to 261,586.50, 360,976.98 and 145,307.48 is: 200,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,586.50 : 360,976.98 = 145,307.48 : x
  2. Step 2: Convert to fraction form
    261,586.50/360,976.98 = 145,307.48/x
  3. Step 3: Cross multiply
    261,586.50x = 360,976.98 × 145,307.48
  4. Step 4: Simplify right side
    261,586.50x = 52,452,655,301.81
  5. Step 5: Solve for x
    x = 52,452,655,301.81/261,586.50
  6. Step 6: Final answer
    x = 200,517.44

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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.