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Finding the Fourth Proportional to 394,995.42, 592,493.13 and 217,411.02

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Solution

The fourth proportional to 394,995.42, 592,493.13 and 217,411.02 is: 326,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,995.42 : 592,493.13 = 217,411.02 : x
  2. Step 2: Convert to fraction form
    394,995.42/592,493.13 = 217,411.02/x
  3. Step 3: Cross multiply
    394,995.42x = 592,493.13 × 217,411.02
  4. Step 4: Simplify right side
    394,995.42x = 128,814,535,736.29
  5. Step 5: Solve for x
    x = 128,814,535,736.29/394,995.42
  6. Step 6: Final answer
    x = 326,116.53

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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.