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Finding the Fourth Proportional to 306,758.78, 423,323.10 and 177,714.84

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Solution

The fourth proportional to 306,758.78, 423,323.10 and 177,714.84 is: 245,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,758.78 : 423,323.10 = 177,714.84 : x
  2. Step 2: Convert to fraction form
    306,758.78/423,323.10 = 177,714.84/x
  3. Step 3: Cross multiply
    306,758.78x = 423,323.10 × 177,714.84
  4. Step 4: Simplify right side
    306,758.78x = 75,230,796,984.80
  5. Step 5: Solve for x
    x = 75,230,796,984.80/306,758.78
  6. Step 6: Final answer
    x = 245,244.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.