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Finding the Fourth Proportional to 305,983.85, 458,647.63 and 147,994.97

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Solution

The fourth proportional to 305,983.85, 458,647.63 and 147,994.97 is: 221,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,983.85 : 458,647.63 = 147,994.97 : x
  2. Step 2: Convert to fraction form
    305,983.85/458,647.63 = 147,994.97/x
  3. Step 3: Cross multiply
    305,983.85x = 458,647.63 × 147,994.97
  4. Step 4: Simplify right side
    305,983.85x = 67,877,539,579.20
  5. Step 5: Solve for x
    x = 67,877,539,579.20/305,983.85
  6. Step 6: Final answer
    x = 221,833.74

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1.5x scale

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.