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Finding the Fourth Proportional to 512,787.72, 769,254.48 and 157,831.32

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Solution

The fourth proportional to 512,787.72, 769,254.48 and 157,831.32 is: 236,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,787.72 : 769,254.48 = 157,831.32 : x
  2. Step 2: Convert to fraction form
    512,787.72/769,254.48 = 157,831.32/x
  3. Step 3: Cross multiply
    512,787.72x = 769,254.48 × 157,831.32
  4. Step 4: Simplify right side
    512,787.72x = 121,412,449,994.31
  5. Step 5: Solve for x
    x = 121,412,449,994.31/512,787.72
  6. Step 6: Final answer
    x = 236,769.42

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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.