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Finding the Fourth Proportional to 413,219.70, 619,761.51 and 386,321.22

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Solution

The fourth proportional to 413,219.70, 619,761.51 and 386,321.22 is: 579,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,219.70 : 619,761.51 = 386,321.22 : x
  2. Step 2: Convert to fraction form
    413,219.70/619,761.51 = 386,321.22/x
  3. Step 3: Cross multiply
    413,219.70x = 619,761.51 × 386,321.22
  4. Step 4: Simplify right side
    413,219.70x = 239,427,022,652.24
  5. Step 5: Solve for x
    x = 239,427,022,652.24/413,219.70
  6. Step 6: Final answer
    x = 579,418.22

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1.5x scale

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.