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Finding the Fourth Proportional to 335,480.88, 463,243.05 and 311,140.15

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Solution

The fourth proportional to 335,480.88, 463,243.05 and 311,140.15 is: 429,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,480.88 : 463,243.05 = 311,140.15 : x
  2. Step 2: Convert to fraction form
    335,480.88/463,243.05 = 311,140.15/x
  3. Step 3: Cross multiply
    335,480.88x = 463,243.05 × 311,140.15
  4. Step 4: Simplify right side
    335,480.88x = 144,133,510,905.35
  5. Step 5: Solve for x
    x = 144,133,510,905.35/335,480.88
  6. Step 6: Final answer
    x = 429,632.56

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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.