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Finding the Fourth Proportional to 709,074.86, 978,529.55 and 386,786.39

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Solution

The fourth proportional to 709,074.86, 978,529.55 and 386,786.39 is: 533,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,074.86 : 978,529.55 = 386,786.39 : x
  2. Step 2: Convert to fraction form
    709,074.86/978,529.55 = 386,786.39/x
  3. Step 3: Cross multiply
    709,074.86x = 978,529.55 × 386,786.39
  4. Step 4: Simplify right side
    709,074.86x = 378,481,905,326.25
  5. Step 5: Solve for x
    x = 378,481,905,326.25/709,074.86
  6. Step 6: Final answer
    x = 533,768.62

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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.