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Finding the Fourth Proportional to 413,212.20, 619,750.26 and 386,313.72

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Solution

The fourth proportional to 413,212.20, 619,750.26 and 386,313.72 is: 579,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,212.20 : 619,750.26 = 386,313.72 : x
  2. Step 2: Convert to fraction form
    413,212.20/619,750.26 = 386,313.72/x
  3. Step 3: Cross multiply
    413,212.20x = 619,750.26 × 386,313.72
  4. Step 4: Simplify right side
    413,212.20x = 239,418,028,411.57
  5. Step 5: Solve for x
    x = 239,418,028,411.57/413,212.20
  6. Step 6: Final answer
    x = 579,406.97

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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.