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Finding the Fourth Proportional to 495,471.62, 743,105 and 313,047.02

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Solution

The fourth proportional to 495,471.62, 743,105 and 313,047.02 is: 469,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,471.62 : 743,105 = 313,047.02 : x
  2. Step 2: Convert to fraction form
    495,471.62/743,105 = 313,047.02/x
  3. Step 3: Cross multiply
    495,471.62x = 743,105 × 313,047.02
  4. Step 4: Simplify right side
    495,471.62x = 232,626,805,797.10
  5. Step 5: Solve for x
    x = 232,626,805,797.10/495,471.62
  6. Step 6: Final answer
    x = 469,505.81

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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.