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Finding the Fourth Proportional to 289,858.42, 399,820.53 and 209,404.18

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Solution

The fourth proportional to 289,858.42, 399,820.53 and 209,404.18 is: 288,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,858.42 : 399,820.53 = 209,404.18 : x
  2. Step 2: Convert to fraction form
    289,858.42/399,820.53 = 209,404.18/x
  3. Step 3: Cross multiply
    289,858.42x = 399,820.53 × 209,404.18
  4. Step 4: Simplify right side
    289,858.42x = 83,724,090,231.82
  5. Step 5: Solve for x
    x = 83,724,090,231.82/289,858.42
  6. Step 6: Final answer
    x = 288,844.78

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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.