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Finding the Fourth Proportional to 260,478.34, 390,787.64 and 134,049.70

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Solution

The fourth proportional to 260,478.34, 390,787.64 and 134,049.70 is: 201,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,478.34 : 390,787.64 = 134,049.70 : x
  2. Step 2: Convert to fraction form
    260,478.34/390,787.64 = 134,049.70/x
  3. Step 3: Cross multiply
    260,478.34x = 390,787.64 × 134,049.70
  4. Step 4: Simplify right side
    260,478.34x = 52,384,965,905.71
  5. Step 5: Solve for x
    x = 52,384,965,905.71/260,478.34
  6. Step 6: Final answer
    x = 201,110.64

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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.