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Finding the Fourth Proportional to 421,998.68, 633,053.62 and 137,589.36

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Solution

The fourth proportional to 421,998.68, 633,053.62 and 137,589.36 is: 206,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,998.68 : 633,053.62 = 137,589.36 : x
  2. Step 2: Convert to fraction form
    421,998.68/633,053.62 = 137,589.36/x
  3. Step 3: Cross multiply
    421,998.68x = 633,053.62 × 137,589.36
  4. Step 4: Simplify right side
    421,998.68x = 87,101,442,421.48
  5. Step 5: Solve for x
    x = 87,101,442,421.48/421,998.68
  6. Step 6: Final answer
    x = 206,402.17

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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.