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Finding the Fourth Proportional to 301,773.28, 452,601.60 and 286,787.20

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Solution

The fourth proportional to 301,773.28, 452,601.60 and 286,787.20 is: 430,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,773.28 : 452,601.60 = 286,787.20 : x
  2. Step 2: Convert to fraction form
    301,773.28/452,601.60 = 286,787.20/x
  3. Step 3: Cross multiply
    301,773.28x = 452,601.60 × 286,787.20
  4. Step 4: Simplify right side
    301,773.28x = 129,800,345,579.52
  5. Step 5: Solve for x
    x = 129,800,345,579.52/301,773.28
  6. Step 6: Final answer
    x = 430,125.38

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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.