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Finding the Fourth Proportional to 381,364.98, 571,648.34 and 128,558.12

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Solution

The fourth proportional to 381,364.98, 571,648.34 and 128,558.12 is: 192,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,364.98 : 571,648.34 = 128,558.12 : x
  2. Step 2: Convert to fraction form
    381,364.98/571,648.34 = 128,558.12/x
  3. Step 3: Cross multiply
    381,364.98x = 571,648.34 × 128,558.12
  4. Step 4: Simplify right side
    381,364.98x = 73,490,035,891.52
  5. Step 5: Solve for x
    x = 73,490,035,891.52/381,364.98
  6. Step 6: Final answer
    x = 192,702.63

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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.