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Finding the Fourth Proportional to 338,419.10, 507,615.42 and 138,691.46

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Solution

The fourth proportional to 338,419.10, 507,615.42 and 138,691.46 is: 208,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,419.10 : 507,615.42 = 138,691.46 : x
  2. Step 2: Convert to fraction form
    338,419.10/507,615.42 = 138,691.46/x
  3. Step 3: Cross multiply
    338,419.10x = 507,615.42 × 138,691.46
  4. Step 4: Simplify right side
    338,419.10x = 70,401,923,718.31
  5. Step 5: Solve for x
    x = 70,401,923,718.31/338,419.10
  6. Step 6: Final answer
    x = 208,031.77

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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.