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Finding the Fourth Proportional to 280,647.84, 420,677.72 and 130,764.52

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Solution

The fourth proportional to 280,647.84, 420,677.72 and 130,764.52 is: 196,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,647.84 : 420,677.72 = 130,764.52 : x
  2. Step 2: Convert to fraction form
    280,647.84/420,677.72 = 130,764.52/x
  3. Step 3: Cross multiply
    280,647.84x = 420,677.72 × 130,764.52
  4. Step 4: Simplify right side
    280,647.84x = 55,009,720,130.49
  5. Step 5: Solve for x
    x = 55,009,720,130.49/280,647.84
  6. Step 6: Final answer
    x = 196,009.78

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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.