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Finding the Fourth Proportional to 709,390.11, 978,960.87 and 387,107.31

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Solution

The fourth proportional to 709,390.11, 978,960.87 and 387,107.31 is: 534,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,390.11 : 978,960.87 = 387,107.31 : x
  2. Step 2: Convert to fraction form
    709,390.11/978,960.87 = 387,107.31/x
  3. Step 3: Cross multiply
    709,390.11x = 978,960.87 × 387,107.31
  4. Step 4: Simplify right side
    709,390.11x = 378,962,908,980.96
  5. Step 5: Solve for x
    x = 378,962,908,980.96/709,390.11
  6. Step 6: Final answer
    x = 534,209.46

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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.