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Finding the Fourth Proportional to 386,470.20, 579,562.74 and 133,685.40

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Solution

The fourth proportional to 386,470.20, 579,562.74 and 133,685.40 is: 200,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,470.20 : 579,562.74 = 133,685.40 : x
  2. Step 2: Convert to fraction form
    386,470.20/579,562.74 = 133,685.40/x
  3. Step 3: Cross multiply
    386,470.20x = 579,562.74 × 133,685.40
  4. Step 4: Simplify right side
    386,470.20x = 77,479,076,722.00
  5. Step 5: Solve for x
    x = 77,479,076,722.00/386,470.20
  6. Step 6: Final answer
    x = 200,478.79

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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.