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Finding the Fourth Proportional to 396,324, 546,510.24 and 305,694.72

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Solution

The fourth proportional to 396,324, 546,510.24 and 305,694.72 is: 421,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,324 : 546,510.24 = 305,694.72 : x
  2. Step 2: Convert to fraction form
    396,324/546,510.24 = 305,694.72/x
  3. Step 3: Cross multiply
    396,324x = 546,510.24 × 305,694.72
  4. Step 4: Simplify right side
    396,324x = 167,065,294,793.93
  5. Step 5: Solve for x
    x = 167,065,294,793.93/396,324
  6. Step 6: Final answer
    x = 421,537.16

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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.