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Finding the Fourth Proportional to 405,680.40, 608,892.60 and 206,139.60

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Solution

The fourth proportional to 405,680.40, 608,892.60 and 206,139.60 is: 309,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,680.40 : 608,892.60 = 206,139.60 : x
  2. Step 2: Convert to fraction form
    405,680.40/608,892.60 = 206,139.60/x
  3. Step 3: Cross multiply
    405,680.40x = 608,892.60 × 206,139.60
  4. Step 4: Simplify right side
    405,680.40x = 125,516,877,006.96
  5. Step 5: Solve for x
    x = 125,516,877,006.96/405,680.40
  6. Step 6: Final answer
    x = 309,398.43

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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.