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Finding the Fourth Proportional to 303,947.60, 455,265.30 and 197,659.40

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Solution

The fourth proportional to 303,947.60, 455,265.30 and 197,659.40 is: 296,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,947.60 : 455,265.30 = 197,659.40 : x
  2. Step 2: Convert to fraction form
    303,947.60/455,265.30 = 197,659.40/x
  3. Step 3: Cross multiply
    303,947.60x = 455,265.30 × 197,659.40
  4. Step 4: Simplify right side
    303,947.60x = 89,987,466,038.82
  5. Step 5: Solve for x
    x = 89,987,466,038.82/303,947.60
  6. Step 6: Final answer
    x = 296,062.43

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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.