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Finding the Fourth Proportional to 275,430.40, 413,145.60 and 149,021.80

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Solution

The fourth proportional to 275,430.40, 413,145.60 and 149,021.80 is: 223,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,430.40 : 413,145.60 = 149,021.80 : x
  2. Step 2: Convert to fraction form
    275,430.40/413,145.60 = 149,021.80/x
  3. Step 3: Cross multiply
    275,430.40x = 413,145.60 × 149,021.80
  4. Step 4: Simplify right side
    275,430.40x = 61,567,700,974.08
  5. Step 5: Solve for x
    x = 61,567,700,974.08/275,430.40
  6. Step 6: Final answer
    x = 223,532.70

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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.