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Finding the Fourth Proportional to 311,887.21, 430,403.07 and 168,647.22

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Solution

The fourth proportional to 311,887.21, 430,403.07 and 168,647.22 is: 232,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,887.21 : 430,403.07 = 168,647.22 : x
  2. Step 2: Convert to fraction form
    311,887.21/430,403.07 = 168,647.22/x
  3. Step 3: Cross multiply
    311,887.21x = 430,403.07 × 168,647.22
  4. Step 4: Simplify right side
    311,887.21x = 72,586,281,234.97
  5. Step 5: Solve for x
    x = 72,586,281,234.97/311,887.21
  6. Step 6: Final answer
    x = 232,732.47

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1.5x scale

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.