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Finding the Fourth Proportional to 472,780.80, 708,004.80 and 314,150.40

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Solution

The fourth proportional to 472,780.80, 708,004.80 and 314,150.40 is: 470,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,780.80 : 708,004.80 = 314,150.40 : x
  2. Step 2: Convert to fraction form
    472,780.80/708,004.80 = 314,150.40/x
  3. Step 3: Cross multiply
    472,780.80x = 708,004.80 × 314,150.40
  4. Step 4: Simplify right side
    472,780.80x = 222,419,991,121.92
  5. Step 5: Solve for x
    x = 222,419,991,121.92/472,780.80
  6. Step 6: Final answer
    x = 470,450.56

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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.