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Finding the Fourth Proportional to 378,471.66, 522,267.06 and 217,213.22

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Solution

The fourth proportional to 378,471.66, 522,267.06 and 217,213.22 is: 299,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,471.66 : 522,267.06 = 217,213.22 : x
  2. Step 2: Convert to fraction form
    378,471.66/522,267.06 = 217,213.22/x
  3. Step 3: Cross multiply
    378,471.66x = 522,267.06 × 217,213.22
  4. Step 4: Simplify right side
    378,471.66x = 113,443,309,802.53
  5. Step 5: Solve for x
    x = 113,443,309,802.53/378,471.66
  6. Step 6: Final answer
    x = 299,740.57

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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.