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Finding the Fourth Proportional to 279,684.65, 419,587.74 and 102,191.39

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Solution

The fourth proportional to 279,684.65, 419,587.74 and 102,191.39 is: 153,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,684.65 : 419,587.74 = 102,191.39 : x
  2. Step 2: Convert to fraction form
    279,684.65/419,587.74 = 102,191.39/x
  3. Step 3: Cross multiply
    279,684.65x = 419,587.74 × 102,191.39
  4. Step 4: Simplify right side
    279,684.65x = 42,878,254,377.56
  5. Step 5: Solve for x
    x = 42,878,254,377.56/279,684.65
  6. Step 6: Final answer
    x = 153,309.29

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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.