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Finding the Fourth Proportional to 709,026.56, 978,459.68 and 386,743.52

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Solution

The fourth proportional to 709,026.56, 978,459.68 and 386,743.52 is: 533,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,026.56 : 978,459.68 = 386,743.52 : x
  2. Step 2: Convert to fraction form
    709,026.56/978,459.68 = 386,743.52/x
  3. Step 3: Cross multiply
    709,026.56x = 978,459.68 × 386,743.52
  4. Step 4: Simplify right side
    709,026.56x = 378,412,940,821.27
  5. Step 5: Solve for x
    x = 378,412,940,821.27/709,026.56
  6. Step 6: Final answer
    x = 533,707.71

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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.