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Finding the Fourth Proportional to 398,815.88, 598,482.61 and 238,771.22

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Solution

The fourth proportional to 398,815.88, 598,482.61 and 238,771.22 is: 358,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,815.88 : 598,482.61 = 238,771.22 : x
  2. Step 2: Convert to fraction form
    398,815.88/598,482.61 = 238,771.22/x
  3. Step 3: Cross multiply
    398,815.88x = 598,482.61 × 238,771.22
  4. Step 4: Simplify right side
    398,815.88x = 142,900,419,349.14
  5. Step 5: Solve for x
    x = 142,900,419,349.14/398,815.88
  6. Step 6: Final answer
    x = 358,311.76

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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.