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Finding the Fourth Proportional to 305,793.24, 457,991.51 and 145,981.59

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Solution

The fourth proportional to 305,793.24, 457,991.51 and 145,981.59 is: 218,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,793.24 : 457,991.51 = 145,981.59 : x
  2. Step 2: Convert to fraction form
    305,793.24/457,991.51 = 145,981.59/x
  3. Step 3: Cross multiply
    305,793.24x = 457,991.51 × 145,981.59
  4. Step 4: Simplify right side
    305,793.24x = 66,858,328,106.39
  5. Step 5: Solve for x
    x = 66,858,328,106.39/305,793.24
  6. Step 6: Final answer
    x = 218,639.00

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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.