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Finding the Fourth Proportional to 647,966.30, 972,241.05 and 227,543.90

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Solution

The fourth proportional to 647,966.30, 972,241.05 and 227,543.90 is: 341,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,966.30 : 972,241.05 = 227,543.90 : x
  2. Step 2: Convert to fraction form
    647,966.30/972,241.05 = 227,543.90/x
  3. Step 3: Cross multiply
    647,966.30x = 972,241.05 × 227,543.90
  4. Step 4: Simplify right side
    647,966.30x = 221,227,520,257.10
  5. Step 5: Solve for x
    x = 221,227,520,257.10/647,966.30
  6. Step 6: Final answer
    x = 341,418.25

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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.