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Finding the Fourth Proportional to 463,300.80, 694,951.20 and 285,230.40

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Solution

The fourth proportional to 463,300.80, 694,951.20 and 285,230.40 is: 427,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,300.80 : 694,951.20 = 285,230.40 : x
  2. Step 2: Convert to fraction form
    463,300.80/694,951.20 = 285,230.40/x
  3. Step 3: Cross multiply
    463,300.80x = 694,951.20 × 285,230.40
  4. Step 4: Simplify right side
    463,300.80x = 198,221,208,756.48
  5. Step 5: Solve for x
    x = 198,221,208,756.48/463,300.80
  6. Step 6: Final answer
    x = 427,845.60

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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.