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Finding the Fourth Proportional to 215,816.10, 323,724.15 and 194,820.90

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Solution

The fourth proportional to 215,816.10, 323,724.15 and 194,820.90 is: 292,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,816.10 : 323,724.15 = 194,820.90 : x
  2. Step 2: Convert to fraction form
    215,816.10/323,724.15 = 194,820.90/x
  3. Step 3: Cross multiply
    215,816.10x = 323,724.15 × 194,820.90
  4. Step 4: Simplify right side
    215,816.10x = 63,068,230,254.74
  5. Step 5: Solve for x
    x = 63,068,230,254.74/215,816.10
  6. Step 6: Final answer
    x = 292,231.35

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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.