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Finding the Fourth Proportional to 338,446.62, 507,503.34 and 138,712.68

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Solution

The fourth proportional to 338,446.62, 507,503.34 and 138,712.68 is: 208,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,446.62 : 507,503.34 = 138,712.68 : x
  2. Step 2: Convert to fraction form
    338,446.62/507,503.34 = 138,712.68/x
  3. Step 3: Cross multiply
    338,446.62x = 507,503.34 × 138,712.68
  4. Step 4: Simplify right side
    338,446.62x = 70,397,148,400.35
  5. Step 5: Solve for x
    x = 70,397,148,400.35/338,446.62
  6. Step 6: Final answer
    x = 208,000.74

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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.