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Finding the Fourth Proportional to 289,757.48, 399,866.32 and 162,424.88

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Solution

The fourth proportional to 289,757.48, 399,866.32 and 162,424.88 is: 224,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,757.48 : 399,866.32 = 162,424.88 : x
  2. Step 2: Convert to fraction form
    289,757.48/399,866.32 = 162,424.88/x
  3. Step 3: Cross multiply
    289,757.48x = 399,866.32 × 162,424.88
  4. Step 4: Simplify right side
    289,757.48x = 64,948,239,042.04
  5. Step 5: Solve for x
    x = 64,948,239,042.04/289,757.48
  6. Step 6: Final answer
    x = 224,146.89

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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.