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Finding the Fourth Proportional to 492,204, 738,377.28 and 155,130.72

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Solution

The fourth proportional to 492,204, 738,377.28 and 155,130.72 is: 232,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,204 : 738,377.28 = 155,130.72 : x
  2. Step 2: Convert to fraction form
    492,204/738,377.28 = 155,130.72/x
  3. Step 3: Cross multiply
    492,204x = 738,377.28 × 155,130.72
  4. Step 4: Simplify right side
    492,204x = 114,544,999,078.04
  5. Step 5: Solve for x
    x = 114,544,999,078.04/492,204
  6. Step 6: Final answer
    x = 232,718.55

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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.