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Finding the Fourth Proportional to 280,621.60, 420,932.40 and 83,629.60

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Solution

The fourth proportional to 280,621.60, 420,932.40 and 83,629.60 is: 125,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,621.60 : 420,932.40 = 83,629.60 : x
  2. Step 2: Convert to fraction form
    280,621.60/420,932.40 = 83,629.60/x
  3. Step 3: Cross multiply
    280,621.60x = 420,932.40 × 83,629.60
  4. Step 4: Simplify right side
    280,621.60x = 35,202,408,239.04
  5. Step 5: Solve for x
    x = 35,202,408,239.04/280,621.60
  6. Step 6: Final answer
    x = 125,444.40

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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.