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Finding the Fourth Proportional to 280,084.68, 420,150.74 and 122,423.85

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Solution

The fourth proportional to 280,084.68, 420,150.74 and 122,423.85 is: 183,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,084.68 : 420,150.74 = 122,423.85 : x
  2. Step 2: Convert to fraction form
    280,084.68/420,150.74 = 122,423.85/x
  3. Step 3: Cross multiply
    280,084.68x = 420,150.74 × 122,423.85
  4. Step 4: Simplify right side
    280,084.68x = 51,436,470,559.03
  5. Step 5: Solve for x
    x = 51,436,470,559.03/280,084.68
  6. Step 6: Final answer
    x = 183,646.14

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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.