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Finding the Fourth Proportional to 709,058.55, 978,464.84 and 386,766.03

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Solution

The fourth proportional to 709,058.55, 978,464.84 and 386,766.03 is: 533,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,058.55 : 978,464.84 = 386,766.03 : x
  2. Step 2: Convert to fraction form
    709,058.55/978,464.84 = 386,766.03/x
  3. Step 3: Cross multiply
    709,058.55x = 978,464.84 × 386,766.03
  4. Step 4: Simplify right side
    709,058.55x = 378,436,959,727.56
  5. Step 5: Solve for x
    x = 378,436,959,727.56/709,058.55
  6. Step 6: Final answer
    x = 533,717.50

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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.