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Finding the Fourth Proportional to 381,328.70, 526,223.60 and 209,246.14

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Solution

The fourth proportional to 381,328.70, 526,223.60 and 209,246.14 is: 288,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,328.70 : 526,223.60 = 209,246.14 : x
  2. Step 2: Convert to fraction form
    381,328.70/526,223.60 = 209,246.14/x
  3. Step 3: Cross multiply
    381,328.70x = 526,223.60 × 209,246.14
  4. Step 4: Simplify right side
    381,328.70x = 110,110,255,499.79
  5. Step 5: Solve for x
    x = 110,110,255,499.79/381,328.70
  6. Step 6: Final answer
    x = 288,754.18

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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.