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Finding the Fourth Proportional to 492,415.12, 738,476.88 and 137,343.52

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Solution

The fourth proportional to 492,415.12, 738,476.88 and 137,343.52 is: 205,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,415.12 : 738,476.88 = 137,343.52 : x
  2. Step 2: Convert to fraction form
    492,415.12/738,476.88 = 137,343.52/x
  3. Step 3: Cross multiply
    492,415.12x = 738,476.88 × 137,343.52
  4. Step 4: Simplify right side
    492,415.12x = 101,425,014,137.82
  5. Step 5: Solve for x
    x = 101,425,014,137.82/492,415.12
  6. Step 6: Final answer
    x = 205,974.61

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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.