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Finding the Fourth Proportional to 457,138.16, 685,816.72 and 190,750.50

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Solution

The fourth proportional to 457,138.16, 685,816.72 and 190,750.50 is: 286,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,138.16 : 685,816.72 = 190,750.50 : x
  2. Step 2: Convert to fraction form
    457,138.16/685,816.72 = 190,750.50/x
  3. Step 3: Cross multiply
    457,138.16x = 685,816.72 × 190,750.50
  4. Step 4: Simplify right side
    457,138.16x = 130,819,882,248.36
  5. Step 5: Solve for x
    x = 130,819,882,248.36/457,138.16
  6. Step 6: Final answer
    x = 286,171.43

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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.