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Finding the Fourth Proportional to 734,707.86, 1,102,487.44 and 308,206

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Solution

The fourth proportional to 734,707.86, 1,102,487.44 and 308,206 is: 462,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,707.86 : 1,102,487.44 = 308,206 : x
  2. Step 2: Convert to fraction form
    734,707.86/1,102,487.44 = 308,206/x
  3. Step 3: Cross multiply
    734,707.86x = 1,102,487.44 × 308,206
  4. Step 4: Simplify right side
    734,707.86x = 339,793,243,932.64
  5. Step 5: Solve for x
    x = 339,793,243,932.64/734,707.86
  6. Step 6: Final answer
    x = 462,487.56

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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.