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Finding the Fourth Proportional to 208,259, 312,400.62 and 58,510.96

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Solution

The fourth proportional to 208,259, 312,400.62 and 58,510.96 is: 87,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,259 : 312,400.62 = 58,510.96 : x
  2. Step 2: Convert to fraction form
    208,259/312,400.62 = 58,510.96/x
  3. Step 3: Cross multiply
    208,259x = 312,400.62 × 58,510.96
  4. Step 4: Simplify right side
    208,259x = 18,278,860,180.80
  5. Step 5: Solve for x
    x = 18,278,860,180.80/208,259
  6. Step 6: Final answer
    x = 87,769.85

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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.