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Finding the Fourth Proportional to 378,474.67, 522,271.20 and 217,216.22

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Solution

The fourth proportional to 378,474.67, 522,271.20 and 217,216.22 is: 299,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,474.67 : 522,271.20 = 217,216.22 : x
  2. Step 2: Convert to fraction form
    378,474.67/522,271.20 = 217,216.22/x
  3. Step 3: Cross multiply
    378,474.67x = 522,271.20 × 217,216.22
  4. Step 4: Simplify right side
    378,474.67x = 113,445,775,878.86
  5. Step 5: Solve for x
    x = 113,445,775,878.86/378,474.67
  6. Step 6: Final answer
    x = 299,744.70

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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.