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Finding the Fourth Proportional to 723,656.43, 998,496.72 and 417,727.94

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Solution

The fourth proportional to 723,656.43, 998,496.72 and 417,727.94 is: 576,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,656.43 : 998,496.72 = 417,727.94 : x
  2. Step 2: Convert to fraction form
    723,656.43/998,496.72 = 417,727.94/x
  3. Step 3: Cross multiply
    723,656.43x = 998,496.72 × 417,727.94
  4. Step 4: Simplify right side
    723,656.43x = 417,099,972,949.87
  5. Step 5: Solve for x
    x = 417,099,972,949.87/723,656.43
  6. Step 6: Final answer
    x = 576,378.45

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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.