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Finding the Fourth Proportional to 287,120.46, 430,647.86 and 76,774.80

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Solution

The fourth proportional to 287,120.46, 430,647.86 and 76,774.80 is: 115,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,120.46 : 430,647.86 = 76,774.80 : x
  2. Step 2: Convert to fraction form
    287,120.46/430,647.86 = 76,774.80/x
  3. Step 3: Cross multiply
    287,120.46x = 430,647.86 × 76,774.80
  4. Step 4: Simplify right side
    287,120.46x = 33,062,902,938.05
  5. Step 5: Solve for x
    x = 33,062,902,938.05/287,120.46
  6. Step 6: Final answer
    x = 115,153.42

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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.