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Finding the Fourth Proportional to 392,677.60, 589,016.40 and 268,261.60

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Solution

The fourth proportional to 392,677.60, 589,016.40 and 268,261.60 is: 402,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,677.60 : 589,016.40 = 268,261.60 : x
  2. Step 2: Convert to fraction form
    392,677.60/589,016.40 = 268,261.60/x
  3. Step 3: Cross multiply
    392,677.60x = 589,016.40 × 268,261.60
  4. Step 4: Simplify right side
    392,677.60x = 158,010,481,890.24
  5. Step 5: Solve for x
    x = 158,010,481,890.24/392,677.60
  6. Step 6: Final answer
    x = 402,392.40

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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.