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Finding the Fourth Proportional to 497,721.80, 746,109.72 and 317,300.78

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Solution

The fourth proportional to 497,721.80, 746,109.72 and 317,300.78 is: 475,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,721.80 : 746,109.72 = 317,300.78 : x
  2. Step 2: Convert to fraction form
    497,721.80/746,109.72 = 317,300.78/x
  3. Step 3: Cross multiply
    497,721.80x = 746,109.72 × 317,300.78
  4. Step 4: Simplify right side
    497,721.80x = 236,741,196,121.58
  5. Step 5: Solve for x
    x = 236,741,196,121.58/497,721.80
  6. Step 6: Final answer
    x = 475,649.64

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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.