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Finding the Fourth Proportional to 461,255.40, 691,818.30 and 145,744.20

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Solution

The fourth proportional to 461,255.40, 691,818.30 and 145,744.20 is: 218,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,255.40 : 691,818.30 = 145,744.20 : x
  2. Step 2: Convert to fraction form
    461,255.40/691,818.30 = 145,744.20/x
  3. Step 3: Cross multiply
    461,255.40x = 691,818.30 × 145,744.20
  4. Step 4: Simplify right side
    461,255.40x = 100,828,504,678.86
  5. Step 5: Solve for x
    x = 100,828,504,678.86/461,255.40
  6. Step 6: Final answer
    x = 218,595.82

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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.