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Finding the Fourth Proportional to 442,968, 664,445.76 and 206,178.24

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Solution

The fourth proportional to 442,968, 664,445.76 and 206,178.24 is: 309,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,968 : 664,445.76 = 206,178.24 : x
  2. Step 2: Convert to fraction form
    442,968/664,445.76 = 206,178.24/x
  3. Step 3: Cross multiply
    442,968x = 664,445.76 × 206,178.24
  4. Step 4: Simplify right side
    442,968x = 136,994,257,372.26
  5. Step 5: Solve for x
    x = 136,994,257,372.26/442,968
  6. Step 6: Final answer
    x = 309,264.46

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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.