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Finding the Fourth Proportional to 497,728.77, 746,120.13 and 317,307.85

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Solution

The fourth proportional to 497,728.77, 746,120.13 and 317,307.85 is: 475,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728.77 : 746,120.13 = 317,307.85 : x
  2. Step 2: Convert to fraction form
    497,728.77/746,120.13 = 317,307.85/x
  3. Step 3: Cross multiply
    497,728.77x = 746,120.13 × 317,307.85
  4. Step 4: Simplify right side
    497,728.77x = 236,749,771,236.82
  5. Step 5: Solve for x
    x = 236,749,771,236.82/497,728.77
  6. Step 6: Final answer
    x = 475,660.21

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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.