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Finding the Fourth Proportional to 668,265.14, 1,002,347.34 and 212,838

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Solution

The fourth proportional to 668,265.14, 1,002,347.34 and 212,838 is: 319,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,265.14 : 1,002,347.34 = 212,838 : x
  2. Step 2: Convert to fraction form
    668,265.14/1,002,347.34 = 212,838/x
  3. Step 3: Cross multiply
    668,265.14x = 1,002,347.34 × 212,838
  4. Step 4: Simplify right side
    668,265.14x = 213,337,603,150.92
  5. Step 5: Solve for x
    x = 213,337,603,150.92/668,265.14
  6. Step 6: Final answer
    x = 319,240.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.