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Finding the Fourth Proportional to 381,257.80, 571,886.70 and 210,015.70

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Solution

The fourth proportional to 381,257.80, 571,886.70 and 210,015.70 is: 315,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,257.80 : 571,886.70 = 210,015.70 : x
  2. Step 2: Convert to fraction form
    381,257.80/571,886.70 = 210,015.70/x
  3. Step 3: Cross multiply
    381,257.80x = 571,886.70 × 210,015.70
  4. Step 4: Simplify right side
    381,257.80x = 120,105,185,621.19
  5. Step 5: Solve for x
    x = 120,105,185,621.19/381,257.80
  6. Step 6: Final answer
    x = 315,023.55

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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.