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Finding the Fourth Proportional to 305,126.70, 457,859.62 and 136,640.22

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Solution

The fourth proportional to 305,126.70, 457,859.62 and 136,640.22 is: 205,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,126.70 : 457,859.62 = 136,640.22 : x
  2. Step 2: Convert to fraction form
    305,126.70/457,859.62 = 136,640.22/x
  3. Step 3: Cross multiply
    305,126.70x = 457,859.62 × 136,640.22
  4. Step 4: Simplify right side
    305,126.70x = 62,562,039,205.92
  5. Step 5: Solve for x
    x = 62,562,039,205.92/305,126.70
  6. Step 6: Final answer
    x = 205,036.27

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1.5x scale

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.