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Finding the Fourth Proportional to 338,734.14, 507,658.27 and 138,820.47

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Solution

The fourth proportional to 338,734.14, 507,658.27 and 138,820.47 is: 208,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,734.14 : 507,658.27 = 138,820.47 : x
  2. Step 2: Convert to fraction form
    338,734.14/507,658.27 = 138,820.47/x
  3. Step 3: Cross multiply
    338,734.14x = 507,658.27 × 138,820.47
  4. Step 4: Simplify right side
    338,734.14x = 70,473,356,408.39
  5. Step 5: Solve for x
    x = 70,473,356,408.39/338,734.14
  6. Step 6: Final answer
    x = 208,049.17

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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.