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Finding the Fourth Proportional to 402,110.44, 602,988.54 and 188,939

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Solution

The fourth proportional to 402,110.44, 602,988.54 and 188,939 is: 283,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,110.44 : 602,988.54 = 188,939 : x
  2. Step 2: Convert to fraction form
    402,110.44/602,988.54 = 188,939/x
  3. Step 3: Cross multiply
    402,110.44x = 602,988.54 × 188,939
  4. Step 4: Simplify right side
    402,110.44x = 113,928,051,759.06
  5. Step 5: Solve for x
    x = 113,928,051,759.06/402,110.44
  6. Step 6: Final answer
    x = 283,325.28

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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.