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Finding the Fourth Proportional to 203,478.08, 280,794.72 and 112,834.40

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Solution

The fourth proportional to 203,478.08, 280,794.72 and 112,834.40 is: 155,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.08 : 280,794.72 = 112,834.40 : x
  2. Step 2: Convert to fraction form
    203,478.08/280,794.72 = 112,834.40/x
  3. Step 3: Cross multiply
    203,478.08x = 280,794.72 × 112,834.40
  4. Step 4: Simplify right side
    203,478.08x = 31,683,303,754.37
  5. Step 5: Solve for x
    x = 31,683,303,754.37/203,478.08
  6. Step 6: Final answer
    x = 155,708.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.