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Finding the Fourth Proportional to 492,255.94, 738,508.45 and 137,270

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Solution

The fourth proportional to 492,255.94, 738,508.45 and 137,270 is: 205,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,255.94 : 738,508.45 = 137,270 : x
  2. Step 2: Convert to fraction form
    492,255.94/738,508.45 = 137,270/x
  3. Step 3: Cross multiply
    492,255.94x = 738,508.45 × 137,270
  4. Step 4: Simplify right side
    492,255.94x = 101,375,054,931.50
  5. Step 5: Solve for x
    x = 101,375,054,931.50/492,255.94
  6. Step 6: Final answer
    x = 205,939.73

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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.