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Finding the Fourth Proportional to 338,497.71, 507,734.23 and 136,156.47

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Solution

The fourth proportional to 338,497.71, 507,734.23 and 136,156.47 is: 204,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,497.71 : 507,734.23 = 136,156.47 : x
  2. Step 2: Convert to fraction form
    338,497.71/507,734.23 = 136,156.47/x
  3. Step 3: Cross multiply
    338,497.71x = 507,734.23 × 136,156.47
  4. Step 4: Simplify right side
    338,497.71x = 69,131,300,454.97
  5. Step 5: Solve for x
    x = 69,131,300,454.97/338,497.71
  6. Step 6: Final answer
    x = 204,229.74

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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.