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Finding the Fourth Proportional to 386,422.40, 579,604.80 and 161,724.80

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Solution

The fourth proportional to 386,422.40, 579,604.80 and 161,724.80 is: 242,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,422.40 : 579,604.80 = 161,724.80 : x
  2. Step 2: Convert to fraction form
    386,422.40/579,604.80 = 161,724.80/x
  3. Step 3: Cross multiply
    386,422.40x = 579,604.80 × 161,724.80
  4. Step 4: Simplify right side
    386,422.40x = 93,736,470,359.04
  5. Step 5: Solve for x
    x = 93,736,470,359.04/386,422.40
  6. Step 6: Final answer
    x = 242,575.15

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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.