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Finding the Fourth Proportional to 319,166.15, 478,765.62 and 82,510.88

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Solution

The fourth proportional to 319,166.15, 478,765.62 and 82,510.88 is: 123,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,166.15 : 478,765.62 = 82,510.88 : x
  2. Step 2: Convert to fraction form
    319,166.15/478,765.62 = 82,510.88/x
  3. Step 3: Cross multiply
    319,166.15x = 478,765.62 × 82,510.88
  4. Step 4: Simplify right side
    319,166.15x = 39,503,370,226.12
  5. Step 5: Solve for x
    x = 39,503,370,226.12/319,166.15
  6. Step 6: Final answer
    x = 123,770.55

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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.