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Finding the Fourth Proportional to 378,034.60, 567,051.90 and 349,166.20

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Solution

The fourth proportional to 378,034.60, 567,051.90 and 349,166.20 is: 523,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,034.60 : 567,051.90 = 349,166.20 : x
  2. Step 2: Convert to fraction form
    378,034.60/567,051.90 = 349,166.20/x
  3. Step 3: Cross multiply
    378,034.60x = 567,051.90 × 349,166.20
  4. Step 4: Simplify right side
    378,034.60x = 197,995,357,125.78
  5. Step 5: Solve for x
    x = 197,995,357,125.78/378,034.60
  6. Step 6: Final answer
    x = 523,749.30

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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.