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Finding the Fourth Proportional to 344,859.12, 517,415.04 and 145,229.76

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Solution

The fourth proportional to 344,859.12, 517,415.04 and 145,229.76 is: 217,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,859.12 : 517,415.04 = 145,229.76 : x
  2. Step 2: Convert to fraction form
    344,859.12/517,415.04 = 145,229.76/x
  3. Step 3: Cross multiply
    344,859.12x = 517,415.04 × 145,229.76
  4. Step 4: Simplify right side
    344,859.12x = 75,144,062,079.59
  5. Step 5: Solve for x
    x = 75,144,062,079.59/344,859.12
  6. Step 6: Final answer
    x = 217,897.85

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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.