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Finding the Fourth Proportional to 298,118.43, 447,349.89 and 157,877.07

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Solution

The fourth proportional to 298,118.43, 447,349.89 and 157,877.07 is: 236,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,118.43 : 447,349.89 = 157,877.07 : x
  2. Step 2: Convert to fraction form
    298,118.43/447,349.89 = 157,877.07/x
  3. Step 3: Cross multiply
    298,118.43x = 447,349.89 × 157,877.07
  4. Step 4: Simplify right side
    298,118.43x = 70,626,289,898.02
  5. Step 5: Solve for x
    x = 70,626,289,898.02/298,118.43
  6. Step 6: Final answer
    x = 236,906.82

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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.