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Finding the Fourth Proportional to 512,842.40, 769,347.12 and 157,856.48

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Solution

The fourth proportional to 512,842.40, 769,347.12 and 157,856.48 is: 236,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,842.40 : 769,347.12 = 157,856.48 : x
  2. Step 2: Convert to fraction form
    512,842.40/769,347.12 = 157,856.48/x
  3. Step 3: Cross multiply
    512,842.40x = 769,347.12 × 157,856.48
  4. Step 4: Simplify right side
    512,842.40x = 121,446,428,261.34
  5. Step 5: Solve for x
    x = 121,446,428,261.34/512,842.40
  6. Step 6: Final answer
    x = 236,810.43

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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.