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Finding the Fourth Proportional to 284,857.30, 427,434.51 and 206,617.39

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Solution

The fourth proportional to 284,857.30, 427,434.51 and 206,617.39 is: 310,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,857.30 : 427,434.51 = 206,617.39 : x
  2. Step 2: Convert to fraction form
    284,857.30/427,434.51 = 206,617.39/x
  3. Step 3: Cross multiply
    284,857.30x = 427,434.51 × 206,617.39
  4. Step 4: Simplify right side
    284,857.30x = 88,315,402,852.13
  5. Step 5: Solve for x
    x = 88,315,402,852.13/284,857.30
  6. Step 6: Final answer
    x = 310,033.84

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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.