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Finding the Fourth Proportional to 298,847.40, 448,562.70 and 149,256.60

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Solution

The fourth proportional to 298,847.40, 448,562.70 and 149,256.60 is: 224,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,847.40 : 448,562.70 = 149,256.60 : x
  2. Step 2: Convert to fraction form
    298,847.40/448,562.70 = 149,256.60/x
  3. Step 3: Cross multiply
    298,847.40x = 448,562.70 × 149,256.60
  4. Step 4: Simplify right side
    298,847.40x = 66,950,943,488.82
  5. Step 5: Solve for x
    x = 66,950,943,488.82/298,847.40
  6. Step 6: Final answer
    x = 224,030.54

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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.