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Finding the Fourth Proportional to 328,140.85, 491,446.47 and 316,775.97

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Solution

The fourth proportional to 328,140.85, 491,446.47 and 316,775.97 is: 474,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,140.85 : 491,446.47 = 316,775.97 : x
  2. Step 2: Convert to fraction form
    328,140.85/491,446.47 = 316,775.97/x
  3. Step 3: Cross multiply
    328,140.85x = 491,446.47 × 316,775.97
  4. Step 4: Simplify right side
    328,140.85x = 155,678,432,237.33
  5. Step 5: Solve for x
    x = 155,678,432,237.33/328,140.85
  6. Step 6: Final answer
    x = 474,425.64

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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.