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Finding the Fourth Proportional to 654,402.80, 981,409.80 and 254,813.60

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Solution

The fourth proportional to 654,402.80, 981,409.80 and 254,813.60 is: 382,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,402.80 : 981,409.80 = 254,813.60 : x
  2. Step 2: Convert to fraction form
    654,402.80/981,409.80 = 254,813.60/x
  3. Step 3: Cross multiply
    654,402.80x = 981,409.80 × 254,813.60
  4. Step 4: Simplify right side
    654,402.80x = 250,076,564,213.28
  5. Step 5: Solve for x
    x = 250,076,564,213.28/654,402.80
  6. Step 6: Final answer
    x = 382,144.70

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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.