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Finding the Fourth Proportional to 305,204.63, 457,342.16 and 155,220.17

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Solution

The fourth proportional to 305,204.63, 457,342.16 and 155,220.17 is: 232,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,204.63 : 457,342.16 = 155,220.17 : x
  2. Step 2: Convert to fraction form
    305,204.63/457,342.16 = 155,220.17/x
  3. Step 3: Cross multiply
    305,204.63x = 457,342.16 × 155,220.17
  4. Step 4: Simplify right side
    305,204.63x = 70,988,724,760.56
  5. Step 5: Solve for x
    x = 70,988,724,760.56/305,204.63
  6. Step 6: Final answer
    x = 232,593.87

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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.