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Finding the Fourth Proportional to 298,328.56, 447,656.84 and 140,553

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Solution

The fourth proportional to 298,328.56, 447,656.84 and 140,553 is: 210,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,328.56 : 447,656.84 = 140,553 : x
  2. Step 2: Convert to fraction form
    298,328.56/447,656.84 = 140,553/x
  3. Step 3: Cross multiply
    298,328.56x = 447,656.84 × 140,553
  4. Step 4: Simplify right side
    298,328.56x = 62,919,511,832.52
  5. Step 5: Solve for x
    x = 62,919,511,832.52/298,328.56
  6. Step 6: Final answer
    x = 210,906.77

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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.