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Finding the Fourth Proportional to 508,507.48, 762,736.50 and 188,721.64

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Solution

The fourth proportional to 508,507.48, 762,736.50 and 188,721.64 is: 283,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,507.48 : 762,736.50 = 188,721.64 : x
  2. Step 2: Convert to fraction form
    508,507.48/762,736.50 = 188,721.64/x
  3. Step 3: Cross multiply
    508,507.48x = 762,736.50 × 188,721.64
  4. Step 4: Simplify right side
    508,507.48x = 143,944,883,167.86
  5. Step 5: Solve for x
    x = 143,944,883,167.86/508,507.48
  6. Step 6: Final answer
    x = 283,073.29

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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.