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Finding the Fourth Proportional to 305,165.66, 457,730.03 and 136,640.72

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Solution

The fourth proportional to 305,165.66, 457,730.03 and 136,640.72 is: 204,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,165.66 : 457,730.03 = 136,640.72 : x
  2. Step 2: Convert to fraction form
    305,165.66/457,730.03 = 136,640.72/x
  3. Step 3: Cross multiply
    305,165.66x = 457,730.03 × 136,640.72
  4. Step 4: Simplify right side
    305,165.66x = 62,544,561,389.99
  5. Step 5: Solve for x
    x = 62,544,561,389.99/305,165.66
  6. Step 6: Final answer
    x = 204,952.81

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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.