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Finding the Fourth Proportional to 298,140.82, 447,214.35 and 87,782.74

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Solution

The fourth proportional to 298,140.82, 447,214.35 and 87,782.74 is: 131,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,140.82 : 447,214.35 = 87,782.74 : x
  2. Step 2: Convert to fraction form
    298,140.82/447,214.35 = 87,782.74/x
  3. Step 3: Cross multiply
    298,140.82x = 447,214.35 × 87,782.74
  4. Step 4: Simplify right side
    298,140.82x = 39,257,701,010.32
  5. Step 5: Solve for x
    x = 39,257,701,010.32/298,140.82
  6. Step 6: Final answer
    x = 131,675.03

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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.