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Finding the Fourth Proportional to 340,905.40, 511,358.10 and 257,961.40

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Solution

The fourth proportional to 340,905.40, 511,358.10 and 257,961.40 is: 386,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,905.40 : 511,358.10 = 257,961.40 : x
  2. Step 2: Convert to fraction form
    340,905.40/511,358.10 = 257,961.40/x
  3. Step 3: Cross multiply
    340,905.40x = 511,358.10 × 257,961.40
  4. Step 4: Simplify right side
    340,905.40x = 131,910,651,377.34
  5. Step 5: Solve for x
    x = 131,910,651,377.34/340,905.40
  6. Step 6: Final answer
    x = 386,942.10

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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.