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Finding the Fourth Proportional to 512,748.72, 706,993.04 and 349,501.88

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Solution

The fourth proportional to 512,748.72, 706,993.04 and 349,501.88 is: 481,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,748.72 : 706,993.04 = 349,501.88 : x
  2. Step 2: Convert to fraction form
    512,748.72/706,993.04 = 349,501.88/x
  3. Step 3: Cross multiply
    512,748.72x = 706,993.04 × 349,501.88
  4. Step 4: Simplify right side
    512,748.72x = 247,095,396,626.92
  5. Step 5: Solve for x
    x = 247,095,396,626.92/512,748.72
  6. Step 6: Final answer
    x = 481,903.49

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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.