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Finding the Fourth Proportional to 381,427.95, 526,377.27 and 209,362.02

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Solution

The fourth proportional to 381,427.95, 526,377.27 and 209,362.02 is: 288,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,427.95 : 526,377.27 = 209,362.02 : x
  2. Step 2: Convert to fraction form
    381,427.95/526,377.27 = 209,362.02/x
  3. Step 3: Cross multiply
    381,427.95x = 526,377.27 × 209,362.02
  4. Step 4: Simplify right side
    381,427.95x = 110,203,408,529.29
  5. Step 5: Solve for x
    x = 110,203,408,529.29/381,427.95
  6. Step 6: Final answer
    x = 288,923.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.