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Finding the Fourth Proportional to 709,238.58, 978,747.85 and 386,948.89

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Solution

The fourth proportional to 709,238.58, 978,747.85 and 386,948.89 is: 533,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,238.58 : 978,747.85 = 386,948.89 : x
  2. Step 2: Convert to fraction form
    709,238.58/978,747.85 = 386,948.89/x
  3. Step 3: Cross multiply
    709,238.58x = 978,747.85 × 386,948.89
  4. Step 4: Simplify right side
    709,238.58x = 378,725,394,147.39
  5. Step 5: Solve for x
    x = 378,725,394,147.39/709,238.58
  6. Step 6: Final answer
    x = 533,988.71

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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.