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Finding the Fourth Proportional to 709,247.51, 978,764.81 and 386,964.30

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Solution

The fourth proportional to 709,247.51, 978,764.81 and 386,964.30 is: 534,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,247.51 : 978,764.81 = 386,964.30 : x
  2. Step 2: Convert to fraction form
    709,247.51/978,764.81 = 386,964.30/x
  3. Step 3: Cross multiply
    709,247.51x = 978,764.81 × 386,964.30
  4. Step 4: Simplify right side
    709,247.51x = 378,747,039,566.28
  5. Step 5: Solve for x
    x = 378,747,039,566.28/709,247.51
  6. Step 6: Final answer
    x = 534,012.51

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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.