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Finding the Fourth Proportional to 378,405.66, 522,290.79 and 227,473.50

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Solution

The fourth proportional to 378,405.66, 522,290.79 and 227,473.50 is: 313,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,405.66 : 522,290.79 = 227,473.50 : x
  2. Step 2: Convert to fraction form
    378,405.66/522,290.79 = 227,473.50/x
  3. Step 3: Cross multiply
    378,405.66x = 522,290.79 × 227,473.50
  4. Step 4: Simplify right side
    378,405.66x = 118,807,314,019.07
  5. Step 5: Solve for x
    x = 118,807,314,019.07/378,405.66
  6. Step 6: Final answer
    x = 313,968.12

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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.