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Finding the Fourth Proportional to 328,446.91, 491,710.78 and 296,929.81

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Solution

The fourth proportional to 328,446.91, 491,710.78 and 296,929.81 is: 444,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,446.91 : 491,710.78 = 296,929.81 : x
  2. Step 2: Convert to fraction form
    328,446.91/491,710.78 = 296,929.81/x
  3. Step 3: Cross multiply
    328,446.91x = 491,710.78 × 296,929.81
  4. Step 4: Simplify right side
    328,446.91x = 146,003,588,480.35
  5. Step 5: Solve for x
    x = 146,003,588,480.35/328,446.91
  6. Step 6: Final answer
    x = 444,527.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.