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Finding the Fourth Proportional to 298,429.67, 447,513.15 and 158,155.43

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Solution

The fourth proportional to 298,429.67, 447,513.15 and 158,155.43 is: 237,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,429.67 : 447,513.15 = 158,155.43 : x
  2. Step 2: Convert to fraction form
    298,429.67/447,513.15 = 158,155.43/x
  3. Step 3: Cross multiply
    298,429.67x = 447,513.15 × 158,155.43
  4. Step 4: Simplify right side
    298,429.67x = 70,776,633,878.13
  5. Step 5: Solve for x
    x = 70,776,633,878.13/298,429.67
  6. Step 6: Final answer
    x = 237,163.53

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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.