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Finding the Fourth Proportional to 380,803.28, 571,324.32 and 229,165.81

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Solution

The fourth proportional to 380,803.28, 571,324.32 and 229,165.81 is: 343,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,803.28 : 571,324.32 = 229,165.81 : x
  2. Step 2: Convert to fraction form
    380,803.28/571,324.32 = 229,165.81/x
  3. Step 3: Cross multiply
    380,803.28x = 571,324.32 × 229,165.81
  4. Step 4: Simplify right side
    380,803.28x = 130,927,999,137.19
  5. Step 5: Solve for x
    x = 130,927,999,137.19/380,803.28
  6. Step 6: Final answer
    x = 343,820.57

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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.