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Finding the Fourth Proportional to 289,462.82, 433,906.88 and 137,393.42

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Solution

The fourth proportional to 289,462.82, 433,906.88 and 137,393.42 is: 205,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,462.82 : 433,906.88 = 137,393.42 : x
  2. Step 2: Convert to fraction form
    289,462.82/433,906.88 = 137,393.42/x
  3. Step 3: Cross multiply
    289,462.82x = 433,906.88 × 137,393.42
  4. Step 4: Simplify right side
    289,462.82x = 59,615,947,348.23
  5. Step 5: Solve for x
    x = 59,615,947,348.23/289,462.82
  6. Step 6: Final answer
    x = 205,953.73

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1.5x scale

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.