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Finding the Fourth Proportional to 378,292.26, 522,017.23 and 212,744.98

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Solution

The fourth proportional to 378,292.26, 522,017.23 and 212,744.98 is: 293,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,292.26 : 522,017.23 = 212,744.98 : x
  2. Step 2: Convert to fraction form
    378,292.26/522,017.23 = 212,744.98/x
  3. Step 3: Cross multiply
    378,292.26x = 522,017.23 × 212,744.98
  4. Step 4: Simplify right side
    378,292.26x = 111,056,546,273.91
  5. Step 5: Solve for x
    x = 111,056,546,273.91/378,292.26
  6. Step 6: Final answer
    x = 293,573.40

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1.5x scale

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.