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Finding the Fourth Proportional to 298,849.40, 448,565.70 and 149,258.60

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Solution

The fourth proportional to 298,849.40, 448,565.70 and 149,258.60 is: 224,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,849.40 : 448,565.70 = 149,258.60 : x
  2. Step 2: Convert to fraction form
    298,849.40/448,565.70 = 149,258.60/x
  3. Step 3: Cross multiply
    298,849.40x = 448,565.70 × 149,258.60
  4. Step 4: Simplify right side
    298,849.40x = 66,952,288,390.02
  5. Step 5: Solve for x
    x = 66,952,288,390.02/298,849.40
  6. Step 6: Final answer
    x = 224,033.54

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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.