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Finding the Fourth Proportional to 517,297.78, 713,465.85 and 336,067.71

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Solution

The fourth proportional to 517,297.78, 713,465.85 and 336,067.71 is: 463,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,297.78 : 713,465.85 = 336,067.71 : x
  2. Step 2: Convert to fraction form
    517,297.78/713,465.85 = 336,067.71/x
  3. Step 3: Cross multiply
    517,297.78x = 713,465.85 × 336,067.71
  4. Step 4: Simplify right side
    517,297.78x = 239,772,834,372.70
  5. Step 5: Solve for x
    x = 239,772,834,372.70/517,297.78
  6. Step 6: Final answer
    x = 463,510.27

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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.