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Finding the Fourth Proportional to 340,694.40, 511,140.24 and 140,977.92

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Solution

The fourth proportional to 340,694.40, 511,140.24 and 140,977.92 is: 211,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,694.40 : 511,140.24 = 140,977.92 : x
  2. Step 2: Convert to fraction form
    340,694.40/511,140.24 = 140,977.92/x
  3. Step 3: Cross multiply
    340,694.40x = 511,140.24 × 140,977.92
  4. Step 4: Simplify right side
    340,694.40x = 72,059,487,863.50
  5. Step 5: Solve for x
    x = 72,059,487,863.50/340,694.40
  6. Step 6: Final answer
    x = 211,507.70

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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.