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Finding the Fourth Proportional to 495,836.80, 744,446.40 and 309,212.80

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Solution

The fourth proportional to 495,836.80, 744,446.40 and 309,212.80 is: 464,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,836.80 : 744,446.40 = 309,212.80 : x
  2. Step 2: Convert to fraction form
    495,836.80/744,446.40 = 309,212.80/x
  3. Step 3: Cross multiply
    495,836.80x = 744,446.40 × 309,212.80
  4. Step 4: Simplify right side
    495,836.80x = 230,192,355,793.92
  5. Step 5: Solve for x
    x = 230,192,355,793.92/495,836.80
  6. Step 6: Final answer
    x = 464,250.24

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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.