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Finding the Fourth Proportional to 402,109.44, 602,987.04 and 188,938

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Solution

The fourth proportional to 402,109.44, 602,987.04 and 188,938 is: 283,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,109.44 : 602,987.04 = 188,938 : x
  2. Step 2: Convert to fraction form
    402,109.44/602,987.04 = 188,938/x
  3. Step 3: Cross multiply
    402,109.44x = 602,987.04 × 188,938
  4. Step 4: Simplify right side
    402,109.44x = 113,927,165,363.52
  5. Step 5: Solve for x
    x = 113,927,165,363.52/402,109.44
  6. Step 6: Final answer
    x = 283,323.78

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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.