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Finding the Fourth Proportional to 508,209.84, 762,330.60 and 188,441.28

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Solution

The fourth proportional to 508,209.84, 762,330.60 and 188,441.28 is: 282,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,209.84 : 762,330.60 = 188,441.28 : x
  2. Step 2: Convert to fraction form
    508,209.84/762,330.60 = 188,441.28/x
  3. Step 3: Cross multiply
    508,209.84x = 762,330.60 × 188,441.28
  4. Step 4: Simplify right side
    508,209.84x = 143,654,554,047.17
  5. Step 5: Solve for x
    x = 143,654,554,047.17/508,209.84
  6. Step 6: Final answer
    x = 282,667.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.