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Finding the Fourth Proportional to 215,102.52, 321,709.32 and 191,575.80

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Solution

The fourth proportional to 215,102.52, 321,709.32 and 191,575.80 is: 286,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,102.52 : 321,709.32 = 191,575.80 : x
  2. Step 2: Convert to fraction form
    215,102.52/321,709.32 = 191,575.80/x
  3. Step 3: Cross multiply
    215,102.52x = 321,709.32 × 191,575.80
  4. Step 4: Simplify right side
    215,102.52x = 61,631,720,346.46
  5. Step 5: Solve for x
    x = 61,631,720,346.46/215,102.52
  6. Step 6: Final answer
    x = 286,522.54

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1.5x scale

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.