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Finding the Fourth Proportional to 419,122.43, 578,401.69 and 296,833.89

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Solution

The fourth proportional to 419,122.43, 578,401.69 and 296,833.89 is: 409,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,122.43 : 578,401.69 = 296,833.89 : x
  2. Step 2: Convert to fraction form
    419,122.43/578,401.69 = 296,833.89/x
  3. Step 3: Cross multiply
    419,122.43x = 578,401.69 × 296,833.89
  4. Step 4: Simplify right side
    419,122.43x = 171,689,223,625.27
  5. Step 5: Solve for x
    x = 171,689,223,625.27/419,122.43
  6. Step 6: Final answer
    x = 409,639.79

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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.