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Finding the Fourth Proportional to 227,978.20, 341,967.30 and 209,607.40

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Solution

The fourth proportional to 227,978.20, 341,967.30 and 209,607.40 is: 314,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.20 : 341,967.30 = 209,607.40 : x
  2. Step 2: Convert to fraction form
    227,978.20/341,967.30 = 209,607.40/x
  3. Step 3: Cross multiply
    227,978.20x = 341,967.30 × 209,607.40
  4. Step 4: Simplify right side
    227,978.20x = 71,678,876,638.02
  5. Step 5: Solve for x
    x = 71,678,876,638.02/227,978.20
  6. Step 6: Final answer
    x = 314,411.10

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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.