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Finding the Fourth Proportional to 314,533.44, 431,614.80 and 286,021.44

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Solution

The fourth proportional to 314,533.44, 431,614.80 and 286,021.44 is: 392,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,533.44 : 431,614.80 = 286,021.44 : x
  2. Step 2: Convert to fraction form
    314,533.44/431,614.80 = 286,021.44/x
  3. Step 3: Cross multiply
    314,533.44x = 431,614.80 × 286,021.44
  4. Step 4: Simplify right side
    314,533.44x = 123,451,086,621.31
  5. Step 5: Solve for x
    x = 123,451,086,621.31/314,533.44
  6. Step 6: Final answer
    x = 392,489.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.