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Finding the Fourth Proportional to 472,904.80, 709,702.80 and 332,936.80

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Solution

The fourth proportional to 472,904.80, 709,702.80 and 332,936.80 is: 499,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,904.80 : 709,702.80 = 332,936.80 : x
  2. Step 2: Convert to fraction form
    472,904.80/709,702.80 = 332,936.80/x
  3. Step 3: Cross multiply
    472,904.80x = 709,702.80 × 332,936.80
  4. Step 4: Simplify right side
    472,904.80x = 236,286,179,183.04
  5. Step 5: Solve for x
    x = 236,286,179,183.04/472,904.80
  6. Step 6: Final answer
    x = 499,648.51

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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.