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Finding the Fourth Proportional to 398,855.70, 598,672.35 and 199,401.30

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Solution

The fourth proportional to 398,855.70, 598,672.35 and 199,401.30 is: 299,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,855.70 : 598,672.35 = 199,401.30 : x
  2. Step 2: Convert to fraction form
    398,855.70/598,672.35 = 199,401.30/x
  3. Step 3: Cross multiply
    398,855.70x = 598,672.35 × 199,401.30
  4. Step 4: Simplify right side
    398,855.70x = 119,376,044,864.06
  5. Step 5: Solve for x
    x = 119,376,044,864.06/398,855.70
  6. Step 6: Final answer
    x = 299,296.32

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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.