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Finding the Fourth Proportional to 709,182.23, 978,652.05 and 386,892.24

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Solution

The fourth proportional to 709,182.23, 978,652.05 and 386,892.24 is: 533,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,182.23 : 978,652.05 = 386,892.24 : x
  2. Step 2: Convert to fraction form
    709,182.23/978,652.05 = 386,892.24/x
  3. Step 3: Cross multiply
    709,182.23x = 978,652.05 × 386,892.24
  4. Step 4: Simplify right side
    709,182.23x = 378,632,883,805.09
  5. Step 5: Solve for x
    x = 378,632,883,805.09/709,182.23
  6. Step 6: Final answer
    x = 533,900.69

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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.