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Finding the Fourth Proportional to 289,522.80, 399,749.70 and 187,696.08

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Solution

The fourth proportional to 289,522.80, 399,749.70 and 187,696.08 is: 259,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,522.80 : 399,749.70 = 187,696.08 : x
  2. Step 2: Convert to fraction form
    289,522.80/399,749.70 = 187,696.08/x
  3. Step 3: Cross multiply
    289,522.80x = 399,749.70 × 187,696.08
  4. Step 4: Simplify right side
    289,522.80x = 75,031,451,671.18
  5. Step 5: Solve for x
    x = 75,031,451,671.18/289,522.80
  6. Step 6: Final answer
    x = 259,155.59

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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.