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Finding the Fourth Proportional to 298,430.92, 447,515.02 and 158,156.68

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Solution

The fourth proportional to 298,430.92, 447,515.02 and 158,156.68 is: 237,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,430.92 : 447,515.02 = 158,156.68 : x
  2. Step 2: Convert to fraction form
    298,430.92/447,515.02 = 158,156.68/x
  3. Step 3: Cross multiply
    298,430.92x = 447,515.02 × 158,156.68
  4. Step 4: Simplify right side
    298,430.92x = 70,777,489,813.33
  5. Step 5: Solve for x
    x = 70,777,489,813.33/298,430.92
  6. Step 6: Final answer
    x = 237,165.40

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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.