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Finding the Fourth Proportional to 305,063.81, 457,273.08 and 112,814.70

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Solution

The fourth proportional to 305,063.81, 457,273.08 and 112,814.70 is: 169,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,063.81 : 457,273.08 = 112,814.70 : x
  2. Step 2: Convert to fraction form
    305,063.81/457,273.08 = 112,814.70/x
  3. Step 3: Cross multiply
    305,063.81x = 457,273.08 × 112,814.70
  4. Step 4: Simplify right side
    305,063.81x = 51,587,125,338.28
  5. Step 5: Solve for x
    x = 51,587,125,338.28/305,063.81
  6. Step 6: Final answer
    x = 169,102.74

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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.