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Finding the Fourth Proportional to 709,405.09, 978,970.96 and 387,120.67

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Solution

The fourth proportional to 709,405.09, 978,970.96 and 387,120.67 is: 534,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,405.09 : 978,970.96 = 387,120.67 : x
  2. Step 2: Convert to fraction form
    709,405.09/978,970.96 = 387,120.67/x
  3. Step 3: Cross multiply
    709,405.09x = 978,970.96 × 387,120.67
  4. Step 4: Simplify right side
    709,405.09x = 378,979,891,982.22
  5. Step 5: Solve for x
    x = 378,979,891,982.22/709,405.09
  6. Step 6: Final answer
    x = 534,222.12

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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.