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Finding the Fourth Proportional to 472,929.20, 709,912.20 and 262,458.80

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Solution

The fourth proportional to 472,929.20, 709,912.20 and 262,458.80 is: 393,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,929.20 : 709,912.20 = 262,458.80 : x
  2. Step 2: Convert to fraction form
    472,929.20/709,912.20 = 262,458.80/x
  3. Step 3: Cross multiply
    472,929.20x = 709,912.20 × 262,458.80
  4. Step 4: Simplify right side
    472,929.20x = 186,322,704,117.36
  5. Step 5: Solve for x
    x = 186,322,704,117.36/472,929.20
  6. Step 6: Final answer
    x = 393,975.89

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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.