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Finding the Fourth Proportional to 709,378.11, 978,944.31 and 387,095.31

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Solution

The fourth proportional to 709,378.11, 978,944.31 and 387,095.31 is: 534,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,378.11 : 978,944.31 = 387,095.31 : x
  2. Step 2: Convert to fraction form
    709,378.11/978,944.31 = 387,095.31/x
  3. Step 3: Cross multiply
    709,378.11x = 978,944.31 × 387,095.31
  4. Step 4: Simplify right side
    709,378.11x = 378,944,751,152.19
  5. Step 5: Solve for x
    x = 378,944,751,152.19/709,378.11
  6. Step 6: Final answer
    x = 534,192.90

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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.