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Finding the Fourth Proportional to 331,719.84, 457,756.11 and 188,460

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Solution

The fourth proportional to 331,719.84, 457,756.11 and 188,460 is: 260,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,719.84 : 457,756.11 = 188,460 : x
  2. Step 2: Convert to fraction form
    331,719.84/457,756.11 = 188,460/x
  3. Step 3: Cross multiply
    331,719.84x = 457,756.11 × 188,460
  4. Step 4: Simplify right side
    331,719.84x = 86,268,716,490.60
  5. Step 5: Solve for x
    x = 86,268,716,490.60/331,719.84
  6. Step 6: Final answer
    x = 260,064.99

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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.