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Finding the Fourth Proportional to 394,798.49, 592,065.12 and 128,496.38

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Solution

The fourth proportional to 394,798.49, 592,065.12 and 128,496.38 is: 192,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,798.49 : 592,065.12 = 128,496.38 : x
  2. Step 2: Convert to fraction form
    394,798.49/592,065.12 = 128,496.38/x
  3. Step 3: Cross multiply
    394,798.49x = 592,065.12 × 128,496.38
  4. Step 4: Simplify right side
    394,798.49x = 76,078,224,644.27
  5. Step 5: Solve for x
    x = 76,078,224,644.27/394,798.49
  6. Step 6: Final answer
    x = 192,701.41

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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.