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Finding the Fourth Proportional to 492,778.95, 739,055.40 and 137,818.05

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Solution

The fourth proportional to 492,778.95, 739,055.40 and 137,818.05 is: 206,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,778.95 : 739,055.40 = 137,818.05 : x
  2. Step 2: Convert to fraction form
    492,778.95/739,055.40 = 137,818.05/x
  3. Step 3: Cross multiply
    492,778.95x = 739,055.40 × 137,818.05
  4. Step 4: Simplify right side
    492,778.95x = 101,855,174,069.97
  5. Step 5: Solve for x
    x = 101,855,174,069.97/492,778.95
  6. Step 6: Final answer
    x = 206,695.46

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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.