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Finding the Fourth Proportional to 284,857.60, 426,940.80 and 126,918.40

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Solution

The fourth proportional to 284,857.60, 426,940.80 and 126,918.40 is: 190,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,857.60 : 426,940.80 = 126,918.40 : x
  2. Step 2: Convert to fraction form
    284,857.60/426,940.80 = 126,918.40/x
  3. Step 3: Cross multiply
    284,857.60x = 426,940.80 × 126,918.40
  4. Step 4: Simplify right side
    284,857.60x = 54,186,643,230.72
  5. Step 5: Solve for x
    x = 54,186,643,230.72/284,857.60
  6. Step 6: Final answer
    x = 190,223.62

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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.