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Finding the Fourth Proportional to 344,000, 474,731.80 and 191,040.61

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Solution

The fourth proportional to 344,000, 474,731.80 and 191,040.61 is: 263,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,000 : 474,731.80 = 191,040.61 : x
  2. Step 2: Convert to fraction form
    344,000/474,731.80 = 191,040.61/x
  3. Step 3: Cross multiply
    344,000x = 474,731.80 × 191,040.61
  4. Step 4: Simplify right side
    344,000x = 90,693,052,658.40
  5. Step 5: Solve for x
    x = 90,693,052,658.40/344,000
  6. Step 6: Final answer
    x = 263,642.59

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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.