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Finding the Fourth Proportional to 709,082.98, 978,540.77 and 386,794.51

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Solution

The fourth proportional to 709,082.98, 978,540.77 and 386,794.51 is: 533,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,082.98 : 978,540.77 = 386,794.51 : x
  2. Step 2: Convert to fraction form
    709,082.98/978,540.77 = 386,794.51/x
  3. Step 3: Cross multiply
    709,082.98x = 978,540.77 × 386,794.51
  4. Step 4: Simplify right side
    709,082.98x = 378,494,197,647.17
  5. Step 5: Solve for x
    x = 378,494,197,647.17/709,082.98
  6. Step 6: Final answer
    x = 533,779.84

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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.