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Finding the Fourth Proportional to 492,208, 738,383.28 and 155,134.72

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Solution

The fourth proportional to 492,208, 738,383.28 and 155,134.72 is: 232,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,208 : 738,383.28 = 155,134.72 : x
  2. Step 2: Convert to fraction form
    492,208/738,383.28 = 155,134.72/x
  3. Step 3: Cross multiply
    492,208x = 738,383.28 × 155,134.72
  4. Step 4: Simplify right side
    492,208x = 114,548,883,395.48
  5. Step 5: Solve for x
    x = 114,548,883,395.48/492,208
  6. Step 6: Final answer
    x = 232,724.55

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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.