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Finding the Fourth Proportional to 286,635.61, 429,963.14 and 76,273.75

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Solution

The fourth proportional to 286,635.61, 429,963.14 and 76,273.75 is: 114,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,635.61 : 429,963.14 = 76,273.75 : x
  2. Step 2: Convert to fraction form
    286,635.61/429,963.14 = 76,273.75/x
  3. Step 3: Cross multiply
    286,635.61x = 429,963.14 × 76,273.75
  4. Step 4: Simplify right side
    286,635.61x = 32,794,901,348.67
  5. Step 5: Solve for x
    x = 32,794,901,348.67/286,635.61
  6. Step 6: Final answer
    x = 114,413.21

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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.