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Finding the Fourth Proportional to 298,595.52, 447,673.68 and 140,738.40

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Solution

The fourth proportional to 298,595.52, 447,673.68 and 140,738.40 is: 211,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,595.52 : 447,673.68 = 140,738.40 : x
  2. Step 2: Convert to fraction form
    298,595.52/447,673.68 = 140,738.40/x
  3. Step 3: Cross multiply
    298,595.52x = 447,673.68 × 140,738.40
  4. Step 4: Simplify right side
    298,595.52x = 63,004,877,445.31
  5. Step 5: Solve for x
    x = 63,004,877,445.31/298,595.52
  6. Step 6: Final answer
    x = 211,004.09

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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.