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Finding the Fourth Proportional to 469,073.79, 647,391.30 and 297,007.75

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Solution

The fourth proportional to 469,073.79, 647,391.30 and 297,007.75 is: 409,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,073.79 : 647,391.30 = 297,007.75 : x
  2. Step 2: Convert to fraction form
    469,073.79/647,391.30 = 297,007.75/x
  3. Step 3: Cross multiply
    469,073.79x = 647,391.30 × 297,007.75
  4. Step 4: Simplify right side
    469,073.79x = 192,280,230,145.62
  5. Step 5: Solve for x
    x = 192,280,230,145.62/469,073.79
  6. Step 6: Final answer
    x = 409,914.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.