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Finding the Fourth Proportional to 709,134.75, 978,605.96 and 386,846.13

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Solution

The fourth proportional to 709,134.75, 978,605.96 and 386,846.13 is: 533,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,134.75 : 978,605.96 = 386,846.13 : x
  2. Step 2: Convert to fraction form
    709,134.75/978,605.96 = 386,846.13/x
  3. Step 3: Cross multiply
    709,134.75x = 978,605.96 × 386,846.13
  4. Step 4: Simplify right side
    709,134.75x = 378,569,924,651.82
  5. Step 5: Solve for x
    x = 378,569,924,651.82/709,134.75
  6. Step 6: Final answer
    x = 533,847.66

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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.