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Finding the Fourth Proportional to 302,955.84, 418,150.24 and 188,320.96

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Solution

The fourth proportional to 302,955.84, 418,150.24 and 188,320.96 is: 259,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,955.84 : 418,150.24 = 188,320.96 : x
  2. Step 2: Convert to fraction form
    302,955.84/418,150.24 = 188,320.96/x
  3. Step 3: Cross multiply
    302,955.84x = 418,150.24 × 188,320.96
  4. Step 4: Simplify right side
    302,955.84x = 78,746,454,621.03
  5. Step 5: Solve for x
    x = 78,746,454,621.03/302,955.84
  6. Step 6: Final answer
    x = 259,927.17

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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.