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Finding the Fourth Proportional to 306,502.60, 459,753.90 and 221,865.70

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Solution

The fourth proportional to 306,502.60, 459,753.90 and 221,865.70 is: 332,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.60 : 459,753.90 = 221,865.70 : x
  2. Step 2: Convert to fraction form
    306,502.60/459,753.90 = 221,865.70/x
  3. Step 3: Cross multiply
    306,502.60x = 459,753.90 × 221,865.70
  4. Step 4: Simplify right side
    306,502.60x = 102,003,620,851.23
  5. Step 5: Solve for x
    x = 102,003,620,851.23/306,502.60
  6. Step 6: Final answer
    x = 332,798.55

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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.