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Finding the Fourth Proportional to 681,439,358.74, 940,384,456.34 and 380,024,997.64

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Solution

The fourth proportional to 681,439,358.74, 940,384,456.34 and 380,024,997.64 is: 524,433,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,439,358.74 : 940,384,456.34 = 380,024,997.64 : x
  2. Step 2: Convert to fraction form
    681,439,358.74/940,384,456.34 = 380,024,997.64/x
  3. Step 3: Cross multiply
    681,439,358.74x = 940,384,456.34 × 380,024,997.64
  4. Step 4: Simplify right side
    681,439,358.74x = 357,369,600,801,301,184
  5. Step 5: Solve for x
    x = 357,369,600,801,301,184/681,439,358.74
  6. Step 6: Final answer
    x = 524,433,460.17

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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.