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Finding the Fourth Proportional to 457,342.47, 685,903.41 and 190,958.58

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Solution

The fourth proportional to 457,342.47, 685,903.41 and 190,958.58 is: 286,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,342.47 : 685,903.41 = 190,958.58 : x
  2. Step 2: Convert to fraction form
    457,342.47/685,903.41 = 190,958.58/x
  3. Step 3: Cross multiply
    457,342.47x = 685,903.41 × 190,958.58
  4. Step 4: Simplify right side
    457,342.47x = 130,979,141,190.76
  5. Step 5: Solve for x
    x = 130,979,141,190.76/457,342.47
  6. Step 6: Final answer
    x = 286,391.82

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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.