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Finding the Fourth Proportional to 472,709.20, 709,582.20 and 262,238.80

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Solution

The fourth proportional to 472,709.20, 709,582.20 and 262,238.80 is: 393,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,709.20 : 709,582.20 = 262,238.80 : x
  2. Step 2: Convert to fraction form
    472,709.20/709,582.20 = 262,238.80/x
  3. Step 3: Cross multiply
    472,709.20x = 709,582.20 × 262,238.80
  4. Step 4: Simplify right side
    472,709.20x = 186,079,984,629.36
  5. Step 5: Solve for x
    x = 186,079,984,629.36/472,709.20
  6. Step 6: Final answer
    x = 393,645.79

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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.