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Finding the Fourth Proportional to 386,653.76, 579,842.26 and 133,866.40

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Solution

The fourth proportional to 386,653.76, 579,842.26 and 133,866.40 is: 200,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,653.76 : 579,842.26 = 133,866.40 : x
  2. Step 2: Convert to fraction form
    386,653.76/579,842.26 = 133,866.40/x
  3. Step 3: Cross multiply
    386,653.76x = 579,842.26 × 133,866.40
  4. Step 4: Simplify right side
    386,653.76x = 77,621,393,014.85
  5. Step 5: Solve for x
    x = 77,621,393,014.85/386,653.76
  6. Step 6: Final answer
    x = 200,751.68

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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.