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Finding the Fourth Proportional to 469,649.49, 647,688.60 and 397,204.17

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Solution

The fourth proportional to 469,649.49, 647,688.60 and 397,204.17 is: 547,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,649.49 : 647,688.60 = 397,204.17 : x
  2. Step 2: Convert to fraction form
    469,649.49/647,688.60 = 397,204.17/x
  3. Step 3: Cross multiply
    469,649.49x = 647,688.60 × 397,204.17
  4. Step 4: Simplify right side
    469,649.49x = 257,264,612,781.46
  5. Step 5: Solve for x
    x = 257,264,612,781.46/469,649.49
  6. Step 6: Final answer
    x = 547,780.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.