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Finding the Fourth Proportional to 305,134.78, 457,639.55 and 115,529.88

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Solution

The fourth proportional to 305,134.78, 457,639.55 and 115,529.88 is: 173,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,134.78 : 457,639.55 = 115,529.88 : x
  2. Step 2: Convert to fraction form
    305,134.78/457,639.55 = 115,529.88/x
  3. Step 3: Cross multiply
    305,134.78x = 457,639.55 × 115,529.88
  4. Step 4: Simplify right side
    305,134.78x = 52,871,042,294.75
  5. Step 5: Solve for x
    x = 52,871,042,294.75/305,134.78
  6. Step 6: Final answer
    x = 173,271.11

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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.