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Finding the Fourth Proportional to 289,860.42, 399,823.29 and 209,406.18

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Solution

The fourth proportional to 289,860.42, 399,823.29 and 209,406.18 is: 288,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,860.42 : 399,823.29 = 209,406.18 : x
  2. Step 2: Convert to fraction form
    289,860.42/399,823.29 = 209,406.18/x
  3. Step 3: Cross multiply
    289,860.42x = 399,823.29 × 209,406.18
  4. Step 4: Simplify right side
    289,860.42x = 83,725,467,833.93
  5. Step 5: Solve for x
    x = 83,725,467,833.93/289,860.42
  6. Step 6: Final answer
    x = 288,847.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.