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Finding the Fourth Proportional to 457,279.70, 685,919.55 and 289,318.10

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Solution

The fourth proportional to 457,279.70, 685,919.55 and 289,318.10 is: 433,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,279.70 : 685,919.55 = 289,318.10 : x
  2. Step 2: Convert to fraction form
    457,279.70/685,919.55 = 289,318.10/x
  3. Step 3: Cross multiply
    457,279.70x = 685,919.55 × 289,318.10
  4. Step 4: Simplify right side
    457,279.70x = 198,448,940,958.86
  5. Step 5: Solve for x
    x = 198,448,940,958.86/457,279.70
  6. Step 6: Final answer
    x = 433,977.15

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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.