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Finding the Fourth Proportional to 1,560,028, 2,340,042 and 378,076

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Solution

The fourth proportional to 1,560,028, 2,340,042 and 378,076 is: 567,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,028 : 2,340,042 = 378,076 : x
  2. Step 2: Convert to fraction form
    1,560,028/2,340,042 = 378,076/x
  3. Step 3: Cross multiply
    1,560,028x = 2,340,042 × 378,076
  4. Step 4: Simplify right side
    1,560,028x = 884,713,719,192
  5. Step 5: Solve for x
    x = 884,713,719,192/1,560,028
  6. Step 6: Final answer
    x = 567,114

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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.