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Finding the Fourth Proportional to 413,212, 619,921.68 and 117,724

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Solution

The fourth proportional to 413,212, 619,921.68 and 117,724 is: 176,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,212 : 619,921.68 = 117,724 : x
  2. Step 2: Convert to fraction form
    413,212/619,921.68 = 117,724/x
  3. Step 3: Cross multiply
    413,212x = 619,921.68 × 117,724
  4. Step 4: Simplify right side
    413,212x = 72,979,659,856.32
  5. Step 5: Solve for x
    x = 72,979,659,856.32/413,212
  6. Step 6: Final answer
    x = 176,615.54

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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.