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Finding the Fourth Proportional to 280,115.40, 420,196.80 and 120,198.32

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Solution

The fourth proportional to 280,115.40, 420,196.80 and 120,198.32 is: 180,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,115.40 : 420,196.80 = 120,198.32 : x
  2. Step 2: Convert to fraction form
    280,115.40/420,196.80 = 120,198.32/x
  3. Step 3: Cross multiply
    280,115.40x = 420,196.80 × 120,198.32
  4. Step 4: Simplify right side
    280,115.40x = 50,506,947,328.39
  5. Step 5: Solve for x
    x = 50,506,947,328.39/280,115.40
  6. Step 6: Final answer
    x = 180,307.64

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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.