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Finding the Fourth Proportional to 457,076.54, 685,629.40 and 141,536.18

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Solution

The fourth proportional to 457,076.54, 685,629.40 and 141,536.18 is: 212,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,076.54 : 685,629.40 = 141,536.18 : x
  2. Step 2: Convert to fraction form
    457,076.54/685,629.40 = 141,536.18/x
  3. Step 3: Cross multiply
    457,076.54x = 685,629.40 × 141,536.18
  4. Step 4: Simplify right side
    457,076.54x = 97,041,366,171.69
  5. Step 5: Solve for x
    x = 97,041,366,171.69/457,076.54
  6. Step 6: Final answer
    x = 212,308.79

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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.