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Finding the Fourth Proportional to 287,118.55, 430,644.99 and 76,772.89

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Solution

The fourth proportional to 287,118.55, 430,644.99 and 76,772.89 is: 115,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,118.55 : 430,644.99 = 76,772.89 : x
  2. Step 2: Convert to fraction form
    287,118.55/430,644.99 = 76,772.89/x
  3. Step 3: Cross multiply
    287,118.55x = 430,644.99 × 76,772.89
  4. Step 4: Simplify right side
    287,118.55x = 33,061,860,446.32
  5. Step 5: Solve for x
    x = 33,061,860,446.32/287,118.55
  6. Step 6: Final answer
    x = 115,150.56

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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.