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Finding the Fourth Proportional to 689,546.52, 951,281.82 and 421,119

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Solution

The fourth proportional to 689,546.52, 951,281.82 and 421,119 is: 580,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,546.52 : 951,281.82 = 421,119 : x
  2. Step 2: Convert to fraction form
    689,546.52/951,281.82 = 421,119/x
  3. Step 3: Cross multiply
    689,546.52x = 951,281.82 × 421,119
  4. Step 4: Simplify right side
    689,546.52x = 400,602,848,756.58
  5. Step 5: Solve for x
    x = 400,602,848,756.58/689,546.52
  6. Step 6: Final answer
    x = 580,965.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.