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Finding the Fourth Proportional to 616,169.20, 922,698.60 and 457,538.80

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Solution

The fourth proportional to 616,169.20, 922,698.60 and 457,538.80 is: 685,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,169.20 : 922,698.60 = 457,538.80 : x
  2. Step 2: Convert to fraction form
    616,169.20/922,698.60 = 457,538.80/x
  3. Step 3: Cross multiply
    616,169.20x = 922,698.60 × 457,538.80
  4. Step 4: Simplify right side
    616,169.20x = 422,170,410,205.68
  5. Step 5: Solve for x
    x = 422,170,410,205.68/616,169.20
  6. Step 6: Final answer
    x = 685,153.38

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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.