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Finding the Fourth Proportional to 512,672.02, 769,139.34 and 157,689.16

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Solution

The fourth proportional to 512,672.02, 769,139.34 and 157,689.16 is: 236,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,672.02 : 769,139.34 = 157,689.16 : x
  2. Step 2: Convert to fraction form
    512,672.02/769,139.34 = 157,689.16/x
  3. Step 3: Cross multiply
    512,672.02x = 769,139.34 × 157,689.16
  4. Step 4: Simplify right side
    512,672.02x = 121,284,936,447.55
  5. Step 5: Solve for x
    x = 121,284,936,447.55/512,672.02
  6. Step 6: Final answer
    x = 236,574.13

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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.