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Finding the Fourth Proportional to 457,066.78, 685,709.51 and 190,679.24

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Solution

The fourth proportional to 457,066.78, 685,709.51 and 190,679.24 is: 286,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,066.78 : 685,709.51 = 190,679.24 : x
  2. Step 2: Convert to fraction form
    457,066.78/685,709.51 = 190,679.24/x
  3. Step 3: Cross multiply
    457,066.78x = 685,709.51 × 190,679.24
  4. Step 4: Simplify right side
    457,066.78x = 130,750,568,227.57
  5. Step 5: Solve for x
    x = 130,750,568,227.57/457,066.78
  6. Step 6: Final answer
    x = 286,064.47

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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.