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Finding the Fourth Proportional to 457,155.59, 685,797.51 and 190,855.54

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Solution

The fourth proportional to 457,155.59, 685,797.51 and 190,855.54 is: 286,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,155.59 : 685,797.51 = 190,855.54 : x
  2. Step 2: Convert to fraction form
    457,155.59/685,797.51 = 190,855.54/x
  3. Step 3: Cross multiply
    457,155.59x = 685,797.51 × 190,855.54
  4. Step 4: Simplify right side
    457,155.59x = 130,888,250,672.72
  5. Step 5: Solve for x
    x = 130,888,250,672.72/457,155.59
  6. Step 6: Final answer
    x = 286,310.07

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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.