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Finding the Fourth Proportional to 305,013.80, 457,336.01 and 136,502.75

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Solution

The fourth proportional to 305,013.80, 457,336.01 and 136,502.75 is: 204,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,013.80 : 457,336.01 = 136,502.75 : x
  2. Step 2: Convert to fraction form
    305,013.80/457,336.01 = 136,502.75/x
  3. Step 3: Cross multiply
    305,013.80x = 457,336.01 × 136,502.75
  4. Step 4: Simplify right side
    305,013.80x = 62,427,621,093.60
  5. Step 5: Solve for x
    x = 62,427,621,093.60/305,013.80
  6. Step 6: Final answer
    x = 204,671.47

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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.