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Finding the Fourth Proportional to 245,462.54, 338,740.36 and 138,031.68

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Solution

The fourth proportional to 245,462.54, 338,740.36 and 138,031.68 is: 190,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,462.54 : 338,740.36 = 138,031.68 : x
  2. Step 2: Convert to fraction form
    245,462.54/338,740.36 = 138,031.68/x
  3. Step 3: Cross multiply
    245,462.54x = 338,740.36 × 138,031.68
  4. Step 4: Simplify right side
    245,462.54x = 46,756,900,974.60
  5. Step 5: Solve for x
    x = 46,756,900,974.60/245,462.54
  6. Step 6: Final answer
    x = 190,484.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.