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Finding the Fourth Proportional to 261,758.40, 392,809.76 and 143,512.80

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Solution

The fourth proportional to 261,758.40, 392,809.76 and 143,512.80 is: 215,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,758.40 : 392,809.76 = 143,512.80 : x
  2. Step 2: Convert to fraction form
    261,758.40/392,809.76 = 143,512.80/x
  3. Step 3: Cross multiply
    261,758.40x = 392,809.76 × 143,512.80
  4. Step 4: Simplify right side
    261,758.40x = 56,373,228,524.93
  5. Step 5: Solve for x
    x = 56,373,228,524.93/261,758.40
  6. Step 6: Final answer
    x = 215,363.59

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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.