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Finding the Fourth Proportional to 305,059.42, 457,316.97 and 155,215.90

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Solution

The fourth proportional to 305,059.42, 457,316.97 and 155,215.90 is: 232,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,059.42 : 457,316.97 = 155,215.90 : x
  2. Step 2: Convert to fraction form
    305,059.42/457,316.97 = 155,215.90/x
  3. Step 3: Cross multiply
    305,059.42x = 457,316.97 × 155,215.90
  4. Step 4: Simplify right side
    305,059.42x = 70,982,865,083.82
  5. Step 5: Solve for x
    x = 70,982,865,083.82/305,059.42
  6. Step 6: Final answer
    x = 232,685.37

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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.