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Finding the Fourth Proportional to 311,989.86, 430,509.60 and 176,025.96

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Solution

The fourth proportional to 311,989.86, 430,509.60 and 176,025.96 is: 242,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,989.86 : 430,509.60 = 176,025.96 : x
  2. Step 2: Convert to fraction form
    311,989.86/430,509.60 = 176,025.96/x
  3. Step 3: Cross multiply
    311,989.86x = 430,509.60 × 176,025.96
  4. Step 4: Simplify right side
    311,989.86x = 75,780,865,629.22
  5. Step 5: Solve for x
    x = 75,780,865,629.22/311,989.86
  6. Step 6: Final answer
    x = 242,895.28

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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.