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Finding the Fourth Proportional to 228,509.45, 315,173.12 and 147,874.76

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Solution

The fourth proportional to 228,509.45, 315,173.12 and 147,874.76 is: 203,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,509.45 : 315,173.12 = 147,874.76 : x
  2. Step 2: Convert to fraction form
    228,509.45/315,173.12 = 147,874.76/x
  3. Step 3: Cross multiply
    228,509.45x = 315,173.12 × 147,874.76
  4. Step 4: Simplify right side
    228,509.45x = 46,606,147,163.21
  5. Step 5: Solve for x
    x = 46,606,147,163.21/228,509.45
  6. Step 6: Final answer
    x = 203,957.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.