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Finding the Fourth Proportional to 380,678.66, 525,336.56 and 227,723.30

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Solution

The fourth proportional to 380,678.66, 525,336.56 and 227,723.30 is: 314,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,678.66 : 525,336.56 = 227,723.30 : x
  2. Step 2: Convert to fraction form
    380,678.66/525,336.56 = 227,723.30/x
  3. Step 3: Cross multiply
    380,678.66x = 525,336.56 × 227,723.30
  4. Step 4: Simplify right side
    380,678.66x = 119,631,375,228.57
  5. Step 5: Solve for x
    x = 119,631,375,228.57/380,678.66
  6. Step 6: Final answer
    x = 314,258.16

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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.