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Finding the Fourth Proportional to 1,178,296.78, 1,764,992.94 and 749,709.58

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Solution

The fourth proportional to 1,178,296.78, 1,764,992.94 and 749,709.58 is: 1,123,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,296.78 : 1,764,992.94 = 749,709.58 : x
  2. Step 2: Convert to fraction form
    1,178,296.78/1,764,992.94 = 749,709.58/x
  3. Step 3: Cross multiply
    1,178,296.78x = 1,764,992.94 × 749,709.58
  4. Step 4: Simplify right side
    1,178,296.78x = 1,323,232,115,750.37
  5. Step 5: Solve for x
    x = 1,323,232,115,750.37/1,178,296.78
  6. Step 6: Final answer
    x = 1,123,004.10

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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.