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Finding the Fourth Proportional to 497,695.20, 746,542.80 and 308,738.40

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Solution

The fourth proportional to 497,695.20, 746,542.80 and 308,738.40 is: 463,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,695.20 : 746,542.80 = 308,738.40 : x
  2. Step 2: Convert to fraction form
    497,695.20/746,542.80 = 308,738.40/x
  3. Step 3: Cross multiply
    497,695.20x = 746,542.80 × 308,738.40
  4. Step 4: Simplify right side
    497,695.20x = 230,486,429,603.52
  5. Step 5: Solve for x
    x = 230,486,429,603.52/497,695.20
  6. Step 6: Final answer
    x = 463,107.60

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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.