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Finding the Fourth Proportional to 419,838.34, 579,377.04 and 238,550.50

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Solution

The fourth proportional to 419,838.34, 579,377.04 and 238,550.50 is: 329,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,838.34 : 579,377.04 = 238,550.50 : x
  2. Step 2: Convert to fraction form
    419,838.34/579,377.04 = 238,550.50/x
  3. Step 3: Cross multiply
    419,838.34x = 579,377.04 × 238,550.50
  4. Step 4: Simplify right side
    419,838.34x = 138,210,682,580.52
  5. Step 5: Solve for x
    x = 138,210,682,580.52/419,838.34
  6. Step 6: Final answer
    x = 329,199.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.