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Finding the Fourth Proportional to 305,245.74, 457,872.47 and 115,655.20

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Solution

The fourth proportional to 305,245.74, 457,872.47 and 115,655.20 is: 173,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,245.74 : 457,872.47 = 115,655.20 : x
  2. Step 2: Convert to fraction form
    305,245.74/457,872.47 = 115,655.20/x
  3. Step 3: Cross multiply
    305,245.74x = 457,872.47 × 115,655.20
  4. Step 4: Simplify right side
    305,245.74x = 52,955,332,092.34
  5. Step 5: Solve for x
    x = 52,955,332,092.34/305,245.74
  6. Step 6: Final answer
    x = 173,484.26

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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.