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Finding the Fourth Proportional to 413,287.20, 618,748.20 and 254,446.20

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Solution

The fourth proportional to 413,287.20, 618,748.20 and 254,446.20 is: 380,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,287.20 : 618,748.20 = 254,446.20 : x
  2. Step 2: Convert to fraction form
    413,287.20/618,748.20 = 254,446.20/x
  3. Step 3: Cross multiply
    413,287.20x = 618,748.20 × 254,446.20
  4. Step 4: Simplify right side
    413,287.20x = 157,438,128,246.84
  5. Step 5: Solve for x
    x = 157,438,128,246.84/413,287.20
  6. Step 6: Final answer
    x = 380,941.22

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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.