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Finding the Fourth Proportional to 256,806.35, 385,287.13 and 76,897.65

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Solution

The fourth proportional to 256,806.35, 385,287.13 and 76,897.65 is: 115,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,806.35 : 385,287.13 = 76,897.65 : x
  2. Step 2: Convert to fraction form
    256,806.35/385,287.13 = 76,897.65/x
  3. Step 3: Cross multiply
    256,806.35x = 385,287.13 × 76,897.65
  4. Step 4: Simplify right side
    256,806.35x = 29,627,676,413.19
  5. Step 5: Solve for x
    x = 29,627,676,413.19/256,806.35
  6. Step 6: Final answer
    x = 115,369.72

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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.