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Finding the Fourth Proportional to 386,886.40, 580,262.76 and 102,578.92

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Solution

The fourth proportional to 386,886.40, 580,262.76 and 102,578.92 is: 153,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,886.40 : 580,262.76 = 102,578.92 : x
  2. Step 2: Convert to fraction form
    386,886.40/580,262.76 = 102,578.92/x
  3. Step 3: Cross multiply
    386,886.40x = 580,262.76 × 102,578.92
  4. Step 4: Simplify right side
    386,886.40x = 59,522,727,237.02
  5. Step 5: Solve for x
    x = 59,522,727,237.02/386,886.40
  6. Step 6: Final answer
    x = 153,850.66

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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.