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Finding the Fourth Proportional to 280,622.63, 420,969.71 and 128,782.86

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Solution

The fourth proportional to 280,622.63, 420,969.71 and 128,782.86 is: 193,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,622.63 : 420,969.71 = 128,782.86 : x
  2. Step 2: Convert to fraction form
    280,622.63/420,969.71 = 128,782.86/x
  3. Step 3: Cross multiply
    280,622.63x = 420,969.71 × 128,782.86
  4. Step 4: Simplify right side
    280,622.63x = 54,213,683,614.04
  5. Step 5: Solve for x
    x = 54,213,683,614.04/280,622.63
  6. Step 6: Final answer
    x = 193,190.71

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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.