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Finding the Fourth Proportional to 280,642.83, 420,670.22 and 130,759.52

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Solution

The fourth proportional to 280,642.83, 420,670.22 and 130,759.52 is: 196,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,642.83 : 420,670.22 = 130,759.52 : x
  2. Step 2: Convert to fraction form
    280,642.83/420,670.22 = 130,759.52/x
  3. Step 3: Cross multiply
    280,642.83x = 420,670.22 × 130,759.52
  4. Step 4: Simplify right side
    280,642.83x = 55,006,634,865.86
  5. Step 5: Solve for x
    x = 55,006,634,865.86/280,642.83
  6. Step 6: Final answer
    x = 196,002.28

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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.