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Finding the Fourth Proportional to 257,269.84, 386,258.24 and 130,994.93

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Solution

The fourth proportional to 257,269.84, 386,258.24 and 130,994.93 is: 196,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,269.84 : 386,258.24 = 130,994.93 : x
  2. Step 2: Convert to fraction form
    257,269.84/386,258.24 = 130,994.93/x
  3. Step 3: Cross multiply
    257,269.84x = 386,258.24 × 130,994.93
  4. Step 4: Simplify right side
    257,269.84x = 50,597,868,524.46
  5. Step 5: Solve for x
    x = 50,597,868,524.46/257,269.84
  6. Step 6: Final answer
    x = 196,672.37

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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.