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Finding the Fourth Proportional to 497,720.80, 746,108.22 and 317,299.78

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Solution

The fourth proportional to 497,720.80, 746,108.22 and 317,299.78 is: 475,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,720.80 : 746,108.22 = 317,299.78 : x
  2. Step 2: Convert to fraction form
    497,720.80/746,108.22 = 317,299.78/x
  3. Step 3: Cross multiply
    497,720.80x = 746,108.22 × 317,299.78
  4. Step 4: Simplify right side
    497,720.80x = 236,739,974,062.19
  5. Step 5: Solve for x
    x = 236,739,974,062.19/497,720.80
  6. Step 6: Final answer
    x = 475,648.14

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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.