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Finding the Fourth Proportional to 508,438.95, 762,627 and 208,911.84

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Solution

The fourth proportional to 508,438.95, 762,627 and 208,911.84 is: 313,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,438.95 : 762,627 = 208,911.84 : x
  2. Step 2: Convert to fraction form
    508,438.95/762,627 = 208,911.84/x
  3. Step 3: Cross multiply
    508,438.95x = 762,627 × 208,911.84
  4. Step 4: Simplify right side
    508,438.95x = 159,321,809,803.68
  5. Step 5: Solve for x
    x = 159,321,809,803.68/508,438.95
  6. Step 6: Final answer
    x = 313,354.85

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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.