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Finding the Fourth Proportional to 409,556.90, 613,897.95 and 156,739.70

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Solution

The fourth proportional to 409,556.90, 613,897.95 and 156,739.70 is: 234,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,556.90 : 613,897.95 = 156,739.70 : x
  2. Step 2: Convert to fraction form
    409,556.90/613,897.95 = 156,739.70/x
  3. Step 3: Cross multiply
    409,556.90x = 613,897.95 × 156,739.70
  4. Step 4: Simplify right side
    409,556.90x = 96,222,180,513.62
  5. Step 5: Solve for x
    x = 96,222,180,513.62/409,556.90
  6. Step 6: Final answer
    x = 234,942.15

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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.