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Finding the Fourth Proportional to 331,724.84, 457,763 and 188,465

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Solution

The fourth proportional to 331,724.84, 457,763 and 188,465 is: 260,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,724.84 : 457,763 = 188,465 : x
  2. Step 2: Convert to fraction form
    331,724.84/457,763 = 188,465/x
  3. Step 3: Cross multiply
    331,724.84x = 457,763 × 188,465
  4. Step 4: Simplify right side
    331,724.84x = 86,272,303,795
  5. Step 5: Solve for x
    x = 86,272,303,795/331,724.84
  6. Step 6: Final answer
    x = 260,071.88

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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.