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Finding the Fourth Proportional to 436,259, 654,396.70 and 136,732.96

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Solution

The fourth proportional to 436,259, 654,396.70 and 136,732.96 is: 205,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,259 : 654,396.70 = 136,732.96 : x
  2. Step 2: Convert to fraction form
    436,259/654,396.70 = 136,732.96/x
  3. Step 3: Cross multiply
    436,259x = 654,396.70 × 136,732.96
  4. Step 4: Simplify right side
    436,259x = 89,477,597,805.23
  5. Step 5: Solve for x
    x = 89,477,597,805.23/436,259
  6. Step 6: Final answer
    x = 205,102.01

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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.