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Finding the Fourth Proportional to 709,236.64, 978,745.42 and 386,946.77

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Solution

The fourth proportional to 709,236.64, 978,745.42 and 386,946.77 is: 533,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,236.64 : 978,745.42 = 386,946.77 : x
  2. Step 2: Convert to fraction form
    709,236.64/978,745.42 = 386,946.77/x
  3. Step 3: Cross multiply
    709,236.64x = 978,745.42 × 386,946.77
  4. Step 4: Simplify right side
    709,236.64x = 378,722,372,092.83
  5. Step 5: Solve for x
    x = 378,722,372,092.83/709,236.64
  6. Step 6: Final answer
    x = 533,985.91

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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.