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Finding the Fourth Proportional to 512,997.33, 769,509.23 and 243,062.13

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Solution

The fourth proportional to 512,997.33, 769,509.23 and 243,062.13 is: 364,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,997.33 : 769,509.23 = 243,062.13 : x
  2. Step 2: Convert to fraction form
    512,997.33/769,509.23 = 243,062.13/x
  3. Step 3: Cross multiply
    512,997.33x = 769,509.23 × 243,062.13
  4. Step 4: Simplify right side
    512,997.33x = 187,038,551,283.15
  5. Step 5: Solve for x
    x = 187,038,551,283.15/512,997.33
  6. Step 6: Final answer
    x = 364,599.46

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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.