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Finding the Fourth Proportional to 508,506.48, 762,735 and 188,720.64

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Solution

The fourth proportional to 508,506.48, 762,735 and 188,720.64 is: 283,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,506.48 : 762,735 = 188,720.64 : x
  2. Step 2: Convert to fraction form
    508,506.48/762,735 = 188,720.64/x
  3. Step 3: Cross multiply
    508,506.48x = 762,735 × 188,720.64
  4. Step 4: Simplify right side
    508,506.48x = 143,943,837,350.40
  5. Step 5: Solve for x
    x = 143,943,837,350.40/508,506.48
  6. Step 6: Final answer
    x = 283,071.79

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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.