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Finding the Fourth Proportional to 512,671.02, 769,137.84 and 157,688.16

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Solution

The fourth proportional to 512,671.02, 769,137.84 and 157,688.16 is: 236,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,671.02 : 769,137.84 = 157,688.16 : x
  2. Step 2: Convert to fraction form
    512,671.02/769,137.84 = 157,688.16/x
  3. Step 3: Cross multiply
    512,671.02x = 769,137.84 × 157,688.16
  4. Step 4: Simplify right side
    512,671.02x = 121,283,930,775.97
  5. Step 5: Solve for x
    x = 121,283,930,775.97/512,671.02
  6. Step 6: Final answer
    x = 236,572.63

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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.