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Finding the Fourth Proportional to 380,309.28, 524,662 and 229,322.40

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Solution

The fourth proportional to 380,309.28, 524,662 and 229,322.40 is: 316,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,309.28 : 524,662 = 229,322.40 : x
  2. Step 2: Convert to fraction form
    380,309.28/524,662 = 229,322.40/x
  3. Step 3: Cross multiply
    380,309.28x = 524,662 × 229,322.40
  4. Step 4: Simplify right side
    380,309.28x = 120,316,749,028.80
  5. Step 5: Solve for x
    x = 120,316,749,028.80/380,309.28
  6. Step 6: Final answer
    x = 316,365.54

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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.