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Finding the Fourth Proportional to 270,301.20, 405,743.40 and 152,203.20

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Solution

The fourth proportional to 270,301.20, 405,743.40 and 152,203.20 is: 228,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,301.20 : 405,743.40 = 152,203.20 : x
  2. Step 2: Convert to fraction form
    270,301.20/405,743.40 = 152,203.20/x
  3. Step 3: Cross multiply
    270,301.20x = 405,743.40 × 152,203.20
  4. Step 4: Simplify right side
    270,301.20x = 61,755,443,858.88
  5. Step 5: Solve for x
    x = 61,755,443,858.88/270,301.20
  6. Step 6: Final answer
    x = 228,469.00

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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.