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Finding the Fourth Proportional to 689,351.74, 951,282.56 and 383,419.46

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Solution

The fourth proportional to 689,351.74, 951,282.56 and 383,419.46 is: 529,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,351.74 : 951,282.56 = 383,419.46 : x
  2. Step 2: Convert to fraction form
    689,351.74/951,282.56 = 383,419.46/x
  3. Step 3: Cross multiply
    689,351.74x = 951,282.56 × 383,419.46
  4. Step 4: Simplify right side
    689,351.74x = 364,740,248,799.37
  5. Step 5: Solve for x
    x = 364,740,248,799.37/689,351.74
  6. Step 6: Final answer
    x = 529,106.16

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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.