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Finding the Fourth Proportional to 512,943.40, 769,499.34 and 157,957.48

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Solution

The fourth proportional to 512,943.40, 769,499.34 and 157,957.48 is: 236,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,943.40 : 769,499.34 = 157,957.48 : x
  2. Step 2: Convert to fraction form
    512,943.40/769,499.34 = 157,957.48/x
  3. Step 3: Cross multiply
    512,943.40x = 769,499.34 × 157,957.48
  4. Step 4: Simplify right side
    512,943.40x = 121,548,176,608.06
  5. Step 5: Solve for x
    x = 121,548,176,608.06/512,943.40
  6. Step 6: Final answer
    x = 236,962.16

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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.