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Finding the Fourth Proportional to 468,970.65, 647,191.53 and 287,782.68

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Solution

The fourth proportional to 468,970.65, 647,191.53 and 287,782.68 is: 397,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,970.65 : 647,191.53 = 287,782.68 : x
  2. Step 2: Convert to fraction form
    468,970.65/647,191.53 = 287,782.68/x
  3. Step 3: Cross multiply
    468,970.65x = 647,191.53 × 287,782.68
  4. Step 4: Simplify right side
    468,970.65x = 186,250,512,976.70
  5. Step 5: Solve for x
    x = 186,250,512,976.70/468,970.65
  6. Step 6: Final answer
    x = 397,147.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.