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Finding the Fourth Proportional to 284,765.28, 427,406.64 and 151,759.20

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Solution

The fourth proportional to 284,765.28, 427,406.64 and 151,759.20 is: 227,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,765.28 : 427,406.64 = 151,759.20 : x
  2. Step 2: Convert to fraction form
    284,765.28/427,406.64 = 151,759.20/x
  3. Step 3: Cross multiply
    284,765.28x = 427,406.64 × 151,759.20
  4. Step 4: Simplify right side
    284,765.28x = 64,862,889,761.09
  5. Step 5: Solve for x
    x = 64,862,889,761.09/284,765.28
  6. Step 6: Final answer
    x = 227,776.68

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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.