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Finding the Fourth Proportional to 308,162.94, 461,455.26 and 213,261.72

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Solution

The fourth proportional to 308,162.94, 461,455.26 and 213,261.72 is: 319,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,162.94 : 461,455.26 = 213,261.72 : x
  2. Step 2: Convert to fraction form
    308,162.94/461,455.26 = 213,261.72/x
  3. Step 3: Cross multiply
    308,162.94x = 461,455.26 × 213,261.72
  4. Step 4: Simplify right side
    308,162.94x = 98,410,742,450.65
  5. Step 5: Solve for x
    x = 98,410,742,450.65/308,162.94
  6. Step 6: Final answer
    x = 319,346.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.