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Finding the Fourth Proportional to 402,081.31, 602,944.82 and 188,909.81

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Solution

The fourth proportional to 402,081.31, 602,944.82 and 188,909.81 is: 283,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,081.31 : 602,944.82 = 188,909.81 : x
  2. Step 2: Convert to fraction form
    402,081.31/602,944.82 = 188,909.81/x
  3. Step 3: Cross multiply
    402,081.31x = 602,944.82 × 188,909.81
  4. Step 4: Simplify right side
    402,081.31x = 113,902,193,366.32
  5. Step 5: Solve for x
    x = 113,902,193,366.32/402,081.31
  6. Step 6: Final answer
    x = 283,281.49

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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.