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Finding the Fourth Proportional to 505,147.70, 757,063.42 and 205,277.74

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Solution

The fourth proportional to 505,147.70, 757,063.42 and 205,277.74 is: 307,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,147.70 : 757,063.42 = 205,277.74 : x
  2. Step 2: Convert to fraction form
    505,147.70/757,063.42 = 205,277.74/x
  3. Step 3: Cross multiply
    505,147.70x = 757,063.42 × 205,277.74
  4. Step 4: Simplify right side
    505,147.70x = 155,408,267,894.27
  5. Step 5: Solve for x
    x = 155,408,267,894.27/505,147.70
  6. Step 6: Final answer
    x = 307,649.16

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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.