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Finding the Fourth Proportional to 312,783.39, 431,602.41 and 222,106.32

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Solution

The fourth proportional to 312,783.39, 431,602.41 and 222,106.32 is: 306,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,783.39 : 431,602.41 = 222,106.32 : x
  2. Step 2: Convert to fraction form
    312,783.39/431,602.41 = 222,106.32/x
  3. Step 3: Cross multiply
    312,783.39x = 431,602.41 × 222,106.32
  4. Step 4: Simplify right side
    312,783.39x = 95,861,622,988.23
  5. Step 5: Solve for x
    x = 95,861,622,988.23/312,783.39
  6. Step 6: Final answer
    x = 306,479.26

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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.