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Finding the Fourth Proportional to 709,105.14, 978,563.52 and 386,815.32

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Solution

The fourth proportional to 709,105.14, 978,563.52 and 386,815.32 is: 533,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,105.14 : 978,563.52 = 386,815.32 : x
  2. Step 2: Convert to fraction form
    709,105.14/978,563.52 = 386,815.32/x
  3. Step 3: Cross multiply
    709,105.14x = 978,563.52 × 386,815.32
  4. Step 4: Simplify right side
    709,105.14x = 378,523,361,129.13
  5. Step 5: Solve for x
    x = 378,523,361,129.13/709,105.14
  6. Step 6: Final answer
    x = 533,804.28

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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.