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Finding the Fourth Proportional to 215,254.29, 322,216.83 and 140,212.83

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Solution

The fourth proportional to 215,254.29, 322,216.83 and 140,212.83 is: 209,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254.29 : 322,216.83 = 140,212.83 : x
  2. Step 2: Convert to fraction form
    215,254.29/322,216.83 = 140,212.83/x
  3. Step 3: Cross multiply
    215,254.29x = 322,216.83 × 140,212.83
  4. Step 4: Simplify right side
    215,254.29x = 45,178,933,607.93
  5. Step 5: Solve for x
    x = 45,178,933,607.93/215,254.29
  6. Step 6: Final answer
    x = 209,886.33

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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.