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Finding the Fourth Proportional to 280,643.83, 420,671.71 and 130,760.52

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Solution

The fourth proportional to 280,643.83, 420,671.71 and 130,760.52 is: 196,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,643.83 : 420,671.71 = 130,760.52 : x
  2. Step 2: Convert to fraction form
    280,643.83/420,671.71 = 130,760.52/x
  3. Step 3: Cross multiply
    280,643.83x = 420,671.71 × 130,760.52
  4. Step 4: Simplify right side
    280,643.83x = 55,007,251,548.89
  5. Step 5: Solve for x
    x = 55,007,251,548.89/280,643.83
  6. Step 6: Final answer
    x = 196,003.78

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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.