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Finding the Fourth Proportional to 346,819.80, 520,229.70 and 178,858.20

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Solution

The fourth proportional to 346,819.80, 520,229.70 and 178,858.20 is: 268,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,819.80 : 520,229.70 = 178,858.20 : x
  2. Step 2: Convert to fraction form
    346,819.80/520,229.70 = 178,858.20/x
  3. Step 3: Cross multiply
    346,819.80x = 520,229.70 × 178,858.20
  4. Step 4: Simplify right side
    346,819.80x = 93,047,347,728.54
  5. Step 5: Solve for x
    x = 93,047,347,728.54/346,819.80
  6. Step 6: Final answer
    x = 268,287.30

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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.