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Finding the Fourth Proportional to 316,277.28, 436,391.28 and 188,928

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Solution

The fourth proportional to 316,277.28, 436,391.28 and 188,928 is: 260,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,277.28 : 436,391.28 = 188,928 : x
  2. Step 2: Convert to fraction form
    316,277.28/436,391.28 = 188,928/x
  3. Step 3: Cross multiply
    316,277.28x = 436,391.28 × 188,928
  4. Step 4: Simplify right side
    316,277.28x = 82,446,531,747.84
  5. Step 5: Solve for x
    x = 82,446,531,747.84/316,277.28
  6. Step 6: Final answer
    x = 260,678.01

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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.