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Finding the Fourth Proportional to 709,244.51, 978,760.67 and 386,961.30

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Solution

The fourth proportional to 709,244.51, 978,760.67 and 386,961.30 is: 534,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,244.51 : 978,760.67 = 386,961.30 : x
  2. Step 2: Convert to fraction form
    709,244.51/978,760.67 = 386,961.30/x
  3. Step 3: Cross multiply
    709,244.51x = 978,760.67 × 386,961.30
  4. Step 4: Simplify right side
    709,244.51x = 378,742,499,317.27
  5. Step 5: Solve for x
    x = 378,742,499,317.27/709,244.51
  6. Step 6: Final answer
    x = 534,008.37

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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.