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Finding the Fourth Proportional to 298,239, 411,569.82 and 164,103

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Solution

The fourth proportional to 298,239, 411,569.82 and 164,103 is: 226,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,239 : 411,569.82 = 164,103 : x
  2. Step 2: Convert to fraction form
    298,239/411,569.82 = 164,103/x
  3. Step 3: Cross multiply
    298,239x = 411,569.82 × 164,103
  4. Step 4: Simplify right side
    298,239x = 67,539,842,171.46
  5. Step 5: Solve for x
    x = 67,539,842,171.46/298,239
  6. Step 6: Final answer
    x = 226,462.14

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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.