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Finding the Fourth Proportional to 279,467.51, 419,208.14 and 101,974.47

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Solution

The fourth proportional to 279,467.51, 419,208.14 and 101,974.47 is: 152,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,467.51 : 419,208.14 = 101,974.47 : x
  2. Step 2: Convert to fraction form
    279,467.51/419,208.14 = 101,974.47/x
  3. Step 3: Cross multiply
    279,467.51x = 419,208.14 × 101,974.47
  4. Step 4: Simplify right side
    279,467.51x = 42,748,527,386.31
  5. Step 5: Solve for x
    x = 42,748,527,386.31/279,467.51
  6. Step 6: Final answer
    x = 152,964.21

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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.