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Finding the Fourth Proportional to 298,443.72, 447,384.18 and 148,542.30

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Solution

The fourth proportional to 298,443.72, 447,384.18 and 148,542.30 is: 222,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,443.72 : 447,384.18 = 148,542.30 : x
  2. Step 2: Convert to fraction form
    298,443.72/447,384.18 = 148,542.30/x
  3. Step 3: Cross multiply
    298,443.72x = 447,384.18 × 148,542.30
  4. Step 4: Simplify right side
    298,443.72x = 66,455,476,199.27
  5. Step 5: Solve for x
    x = 66,455,476,199.27/298,443.72
  6. Step 6: Final answer
    x = 222,673.39

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1.5x scale

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.