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Finding the Fourth Proportional to 381,782.30, 572,621.06 and 211,319.28

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Solution

The fourth proportional to 381,782.30, 572,621.06 and 211,319.28 is: 316,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,782.30 : 572,621.06 = 211,319.28 : x
  2. Step 2: Convert to fraction form
    381,782.30/572,621.06 = 211,319.28/x
  3. Step 3: Cross multiply
    381,782.30x = 572,621.06 × 211,319.28
  4. Step 4: Simplify right side
    381,782.30x = 121,005,870,640.34
  5. Step 5: Solve for x
    x = 121,005,870,640.34/381,782.30
  6. Step 6: Final answer
    x = 316,949.93

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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.