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Finding the Fourth Proportional to 497,660.80, 746,491.20 and 438,563.20

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Solution

The fourth proportional to 497,660.80, 746,491.20 and 438,563.20 is: 657,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,660.80 : 746,491.20 = 438,563.20 : x
  2. Step 2: Convert to fraction form
    497,660.80/746,491.20 = 438,563.20/x
  3. Step 3: Cross multiply
    497,660.80x = 746,491.20 × 438,563.20
  4. Step 4: Simplify right side
    497,660.80x = 327,383,569,443.84
  5. Step 5: Solve for x
    x = 327,383,569,443.84/497,660.80
  6. Step 6: Final answer
    x = 657,844.80

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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.