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Finding the Fourth Proportional to 380,435.84, 524,965.80 and 227,443.60

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Solution

The fourth proportional to 380,435.84, 524,965.80 and 227,443.60 is: 313,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,435.84 : 524,965.80 = 227,443.60 : x
  2. Step 2: Convert to fraction form
    380,435.84/524,965.80 = 227,443.60/x
  3. Step 3: Cross multiply
    380,435.84x = 524,965.80 × 227,443.60
  4. Step 4: Simplify right side
    380,435.84x = 119,400,111,428.88
  5. Step 5: Solve for x
    x = 119,400,111,428.88/380,435.84
  6. Step 6: Final answer
    x = 313,850.85

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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.