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Finding the Fourth Proportional to 305,233.70, 457,534.65 and 136,834.70

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Solution

The fourth proportional to 305,233.70, 457,534.65 and 136,834.70 is: 205,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.70 : 457,534.65 = 136,834.70 : x
  2. Step 2: Convert to fraction form
    305,233.70/457,534.65 = 136,834.70/x
  3. Step 3: Cross multiply
    305,233.70x = 457,534.65 × 136,834.70
  4. Step 4: Simplify right side
    305,233.70x = 62,606,616,572.36
  5. Step 5: Solve for x
    x = 62,606,616,572.36/305,233.70
  6. Step 6: Final answer
    x = 205,110.43

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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.