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Finding the Fourth Proportional to 378,424.77, 567,903.17 and 342,246.03

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Solution

The fourth proportional to 378,424.77, 567,903.17 and 342,246.03 is: 513,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,424.77 : 567,903.17 = 342,246.03 : x
  2. Step 2: Convert to fraction form
    378,424.77/567,903.17 = 342,246.03/x
  3. Step 3: Cross multiply
    378,424.77x = 567,903.17 × 342,246.03
  4. Step 4: Simplify right side
    378,424.77x = 194,362,605,356.92
  5. Step 5: Solve for x
    x = 194,362,605,356.92/378,424.77
  6. Step 6: Final answer
    x = 513,609.63

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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.