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Finding the Fourth Proportional to 512,403.96, 769,772.34 and 370,686.36

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Solution

The fourth proportional to 512,403.96, 769,772.34 and 370,686.36 is: 556,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,403.96 : 769,772.34 = 370,686.36 : x
  2. Step 2: Convert to fraction form
    512,403.96/769,772.34 = 370,686.36/x
  3. Step 3: Cross multiply
    512,403.96x = 769,772.34 × 370,686.36
  4. Step 4: Simplify right side
    512,403.96x = 285,344,106,743.28
  5. Step 5: Solve for x
    x = 285,344,106,743.28/512,403.96
  6. Step 6: Final answer
    x = 556,873.34

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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.