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Finding the Fourth Proportional to 335,499.26, 463,268.33 and 311,158.47

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Solution

The fourth proportional to 335,499.26, 463,268.33 and 311,158.47 is: 429,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,499.26 : 463,268.33 = 311,158.47 : x
  2. Step 2: Convert to fraction form
    335,499.26/463,268.33 = 311,158.47/x
  3. Step 3: Cross multiply
    335,499.26x = 463,268.33 × 311,158.47
  4. Step 4: Simplify right side
    335,499.26x = 144,149,864,246.12
  5. Step 5: Solve for x
    x = 144,149,864,246.12/335,499.26
  6. Step 6: Final answer
    x = 429,657.77

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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.