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Finding the Fourth Proportional to 680,612.63, 939,261.83 and 408,691.98

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Solution

The fourth proportional to 680,612.63, 939,261.83 and 408,691.98 is: 564,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,612.63 : 939,261.83 = 408,691.98 : x
  2. Step 2: Convert to fraction form
    680,612.63/939,261.83 = 408,691.98/x
  3. Step 3: Cross multiply
    680,612.63x = 939,261.83 × 408,691.98
  4. Step 4: Simplify right side
    680,612.63x = 383,868,774,997.66
  5. Step 5: Solve for x
    x = 383,868,774,997.66/680,612.63
  6. Step 6: Final answer
    x = 564,004.78

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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.