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Finding the Fourth Proportional to 709,019.28, 978,449.65 and 386,736.30

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Solution

The fourth proportional to 709,019.28, 978,449.65 and 386,736.30 is: 533,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,019.28 : 978,449.65 = 386,736.30 : x
  2. Step 2: Convert to fraction form
    709,019.28/978,449.65 = 386,736.30/x
  3. Step 3: Cross multiply
    709,019.28x = 978,449.65 × 386,736.30
  4. Step 4: Simplify right side
    709,019.28x = 378,401,996,410.45
  5. Step 5: Solve for x
    x = 378,401,996,410.45/709,019.28
  6. Step 6: Final answer
    x = 533,697.75

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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.