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Finding the Fourth Proportional to 413,270.20, 618,722.70 and 254,429.20

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Solution

The fourth proportional to 413,270.20, 618,722.70 and 254,429.20 is: 380,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,270.20 : 618,722.70 = 254,429.20 : x
  2. Step 2: Convert to fraction form
    413,270.20/618,722.70 = 254,429.20/x
  3. Step 3: Cross multiply
    413,270.20x = 618,722.70 × 254,429.20
  4. Step 4: Simplify right side
    413,270.20x = 157,421,121,582.84
  5. Step 5: Solve for x
    x = 157,421,121,582.84/413,270.20
  6. Step 6: Final answer
    x = 380,915.73

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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.