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Finding the Fourth Proportional to 457,048.78, 685,737.19 and 204,308.12

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Solution

The fourth proportional to 457,048.78, 685,737.19 and 204,308.12 is: 306,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,048.78 : 685,737.19 = 204,308.12 : x
  2. Step 2: Convert to fraction form
    457,048.78/685,737.19 = 204,308.12/x
  3. Step 3: Cross multiply
    457,048.78x = 685,737.19 × 204,308.12
  4. Step 4: Simplify right side
    457,048.78x = 140,101,678,072.71
  5. Step 5: Solve for x
    x = 140,101,678,072.71/457,048.78
  6. Step 6: Final answer
    x = 306,535.51

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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.