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Finding the Fourth Proportional to 305,295.44, 457,849.80 and 211,130.78

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Solution

The fourth proportional to 305,295.44, 457,849.80 and 211,130.78 is: 316,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,295.44 : 457,849.80 = 211,130.78 : x
  2. Step 2: Convert to fraction form
    305,295.44/457,849.80 = 211,130.78/x
  3. Step 3: Cross multiply
    305,295.44x = 457,849.80 × 211,130.78
  4. Step 4: Simplify right side
    305,295.44x = 96,666,185,396.84
  5. Step 5: Solve for x
    x = 96,666,185,396.84/305,295.44
  6. Step 6: Final answer
    x = 316,631.61

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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.