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Finding the Fourth Proportional to 709,026.28, 978,459.30 and 386,743.30

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Solution

The fourth proportional to 709,026.28, 978,459.30 and 386,743.30 is: 533,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,026.28 : 978,459.30 = 386,743.30 : x
  2. Step 2: Convert to fraction form
    709,026.28/978,459.30 = 386,743.30/x
  3. Step 3: Cross multiply
    709,026.28x = 978,459.30 × 386,743.30
  4. Step 4: Simplify right side
    709,026.28x = 378,412,578,597.69
  5. Step 5: Solve for x
    x = 378,412,578,597.69/709,026.28
  6. Step 6: Final answer
    x = 533,707.41

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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.