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Finding the Fourth Proportional to 512,350.80, 706,989.55 and 297,450.69

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Solution

The fourth proportional to 512,350.80, 706,989.55 and 297,450.69 is: 410,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,350.80 : 706,989.55 = 297,450.69 : x
  2. Step 2: Convert to fraction form
    512,350.80/706,989.55 = 297,450.69/x
  3. Step 3: Cross multiply
    512,350.80x = 706,989.55 × 297,450.69
  4. Step 4: Simplify right side
    512,350.80x = 210,294,529,470.29
  5. Step 5: Solve for x
    x = 210,294,529,470.29/512,350.80
  6. Step 6: Final answer
    x = 410,450.28

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1.5x scale

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.