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Finding the Fourth Proportional to 321,905.40, 482,858.10 and 238,961.40

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Solution

The fourth proportional to 321,905.40, 482,858.10 and 238,961.40 is: 358,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,905.40 : 482,858.10 = 238,961.40 : x
  2. Step 2: Convert to fraction form
    321,905.40/482,858.10 = 238,961.40/x
  3. Step 3: Cross multiply
    321,905.40x = 482,858.10 × 238,961.40
  4. Step 4: Simplify right side
    321,905.40x = 115,384,447,577.34
  5. Step 5: Solve for x
    x = 115,384,447,577.34/321,905.40
  6. Step 6: Final answer
    x = 358,442.10

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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.