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Finding the Fourth Proportional to 419,970.62, 579,608.64 and 238,709.78

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Solution

The fourth proportional to 419,970.62, 579,608.64 and 238,709.78 is: 329,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,970.62 : 579,608.64 = 238,709.78 : x
  2. Step 2: Convert to fraction form
    419,970.62/579,608.64 = 238,709.78/x
  3. Step 3: Cross multiply
    419,970.62x = 579,608.64 × 238,709.78
  4. Step 4: Simplify right side
    419,970.62x = 138,358,250,940.50
  5. Step 5: Solve for x
    x = 138,358,250,940.50/419,970.62
  6. Step 6: Final answer
    x = 329,447.45

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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.