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Finding the Fourth Proportional to 253,903.40, 380,856.46 and 76,409.20

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Solution

The fourth proportional to 253,903.40, 380,856.46 and 76,409.20 is: 114,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,903.40 : 380,856.46 = 76,409.20 : x
  2. Step 2: Convert to fraction form
    253,903.40/380,856.46 = 76,409.20/x
  3. Step 3: Cross multiply
    253,903.40x = 380,856.46 × 76,409.20
  4. Step 4: Simplify right side
    253,903.40x = 29,100,937,423.43
  5. Step 5: Solve for x
    x = 29,100,937,423.43/253,903.40
  6. Step 6: Final answer
    x = 114,614.21

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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.