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Finding the Fourth Proportional to 389,109.84, 583,682.64 and 119,218.65

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Solution

The fourth proportional to 389,109.84, 583,682.64 and 119,218.65 is: 178,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,109.84 : 583,682.64 = 119,218.65 : x
  2. Step 2: Convert to fraction form
    389,109.84/583,682.64 = 119,218.65/x
  3. Step 3: Cross multiply
    389,109.84x = 583,682.64 × 119,218.65
  4. Step 4: Simplify right side
    389,109.84x = 69,585,856,369.24
  5. Step 5: Solve for x
    x = 69,585,856,369.24/389,109.84
  6. Step 6: Final answer
    x = 178,833.45

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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.