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Finding the Fourth Proportional to 319,558.42, 441,150.40 and 198,738.63

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Solution

The fourth proportional to 319,558.42, 441,150.40 and 198,738.63 is: 274,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,558.42 : 441,150.40 = 198,738.63 : x
  2. Step 2: Convert to fraction form
    319,558.42/441,150.40 = 198,738.63/x
  3. Step 3: Cross multiply
    319,558.42x = 441,150.40 × 198,738.63
  4. Step 4: Simplify right side
    319,558.42x = 87,673,626,368.38
  5. Step 5: Solve for x
    x = 87,673,626,368.38/319,558.42
  6. Step 6: Final answer
    x = 274,358.68

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1.5x scale

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.