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Finding the Fourth Proportional to 406,438.42, 610,035.90 and 206,908.18

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Solution

The fourth proportional to 406,438.42, 610,035.90 and 206,908.18 is: 310,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,438.42 : 610,035.90 = 206,908.18 : x
  2. Step 2: Convert to fraction form
    406,438.42/610,035.90 = 206,908.18/x
  3. Step 3: Cross multiply
    406,438.42x = 610,035.90 × 206,908.18
  4. Step 4: Simplify right side
    406,438.42x = 126,221,413,718.94
  5. Step 5: Solve for x
    x = 126,221,413,718.94/406,438.42
  6. Step 6: Final answer
    x = 310,554.83

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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.