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Finding the Fourth Proportional to 381,357.36, 526,267.80 and 211,592.16

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Solution

The fourth proportional to 381,357.36, 526,267.80 and 211,592.16 is: 291,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,357.36 : 526,267.80 = 211,592.16 : x
  2. Step 2: Convert to fraction form
    381,357.36/526,267.80 = 211,592.16/x
  3. Step 3: Cross multiply
    381,357.36x = 526,267.80 × 211,592.16
  4. Step 4: Simplify right side
    381,357.36x = 111,354,140,540.45
  5. Step 5: Solve for x
    x = 111,354,140,540.45/381,357.36
  6. Step 6: Final answer
    x = 291,994.21

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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.