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Finding the Fourth Proportional to 413,213.70, 619,752.51 and 386,315.22

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Solution

The fourth proportional to 413,213.70, 619,752.51 and 386,315.22 is: 579,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,213.70 : 619,752.51 = 386,315.22 : x
  2. Step 2: Convert to fraction form
    413,213.70/619,752.51 = 386,315.22/x
  3. Step 3: Cross multiply
    413,213.70x = 619,752.51 × 386,315.22
  4. Step 4: Simplify right side
    413,213.70x = 239,419,827,246.20
  5. Step 5: Solve for x
    x = 239,419,827,246.20/413,213.70
  6. Step 6: Final answer
    x = 579,409.22

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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.