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Finding the Fourth Proportional to 399,278, 550,941 and 229,480.40

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Solution

The fourth proportional to 399,278, 550,941 and 229,480.40 is: 316,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,278 : 550,941 = 229,480.40 : x
  2. Step 2: Convert to fraction form
    399,278/550,941 = 229,480.40/x
  3. Step 3: Cross multiply
    399,278x = 550,941 × 229,480.40
  4. Step 4: Simplify right side
    399,278x = 126,430,161,056.40
  5. Step 5: Solve for x
    x = 126,430,161,056.40/399,278
  6. Step 6: Final answer
    x = 316,646.95

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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.