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Finding the Fourth Proportional to 311,553.54, 429,943.14 and 168,313.14

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Solution

The fourth proportional to 311,553.54, 429,943.14 and 168,313.14 is: 232,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,553.54 : 429,943.14 = 168,313.14 : x
  2. Step 2: Convert to fraction form
    311,553.54/429,943.14 = 168,313.14/x
  3. Step 3: Cross multiply
    311,553.54x = 429,943.14 × 168,313.14
  4. Step 4: Simplify right side
    311,553.54x = 72,365,079,914.86
  5. Step 5: Solve for x
    x = 72,365,079,914.86/311,553.54
  6. Step 6: Final answer
    x = 232,271.73

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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.