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Finding the Fourth Proportional to 404,489.40, 607,233.30 and 254,729.40

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Solution

The fourth proportional to 404,489.40, 607,233.30 and 254,729.40 is: 382,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,489.40 : 607,233.30 = 254,729.40 : x
  2. Step 2: Convert to fraction form
    404,489.40/607,233.30 = 254,729.40/x
  3. Step 3: Cross multiply
    404,489.40x = 607,233.30 × 254,729.40
  4. Step 4: Simplify right side
    404,489.40x = 154,680,174,169.02
  5. Step 5: Solve for x
    x = 154,680,174,169.02/404,489.40
  6. Step 6: Final answer
    x = 382,408.47

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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.