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Finding the Fourth Proportional to 407,422.02, 611,732.96 and 227,859.26

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Solution

The fourth proportional to 407,422.02, 611,732.96 and 227,859.26 is: 342,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,422.02 : 611,732.96 = 227,859.26 : x
  2. Step 2: Convert to fraction form
    407,422.02/611,732.96 = 227,859.26/x
  3. Step 3: Cross multiply
    407,422.02x = 611,732.96 × 227,859.26
  4. Step 4: Simplify right side
    407,422.02x = 139,389,015,385.25
  5. Step 5: Solve for x
    x = 139,389,015,385.25/407,422.02
  6. Step 6: Final answer
    x = 342,124.40

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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.