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Finding the Fourth Proportional to 381,385.70, 526,312.35 and 211,619.83

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Solution

The fourth proportional to 381,385.70, 526,312.35 and 211,619.83 is: 292,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.70 : 526,312.35 = 211,619.83 : x
  2. Step 2: Convert to fraction form
    381,385.70/526,312.35 = 211,619.83/x
  3. Step 3: Cross multiply
    381,385.70x = 526,312.35 × 211,619.83
  4. Step 4: Simplify right side
    381,385.70x = 111,378,130,033.90
  5. Step 5: Solve for x
    x = 111,378,130,033.90/381,385.70
  6. Step 6: Final answer
    x = 292,035.41

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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.