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Finding the Fourth Proportional to 286,862.32, 430,220.40 and 203,406.40

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Solution

The fourth proportional to 286,862.32, 430,220.40 and 203,406.40 is: 305,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,862.32 : 430,220.40 = 203,406.40 : x
  2. Step 2: Convert to fraction form
    286,862.32/430,220.40 = 203,406.40/x
  3. Step 3: Cross multiply
    286,862.32x = 430,220.40 × 203,406.40
  4. Step 4: Simplify right side
    286,862.32x = 87,509,582,770.56
  5. Step 5: Solve for x
    x = 87,509,582,770.56/286,862.32
  6. Step 6: Final answer
    x = 305,057.78

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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.