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Finding the Fourth Proportional to 298,557.87, 411,991.17 and 164,421.87

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Solution

The fourth proportional to 298,557.87, 411,991.17 and 164,421.87 is: 226,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,557.87 : 411,991.17 = 164,421.87 : x
  2. Step 2: Convert to fraction form
    298,557.87/411,991.17 = 164,421.87/x
  3. Step 3: Cross multiply
    298,557.87x = 411,991.17 × 164,421.87
  4. Step 4: Simplify right side
    298,557.87x = 67,740,358,594.89
  5. Step 5: Solve for x
    x = 67,740,358,594.89/298,557.87
  6. Step 6: Final answer
    x = 226,891.89

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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.