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Finding the Fourth Proportional to 305,086.50, 421,019.37 and 177,737.49

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Solution

The fourth proportional to 305,086.50, 421,019.37 and 177,737.49 is: 245,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,086.50 : 421,019.37 = 177,737.49 : x
  2. Step 2: Convert to fraction form
    305,086.50/421,019.37 = 177,737.49/x
  3. Step 3: Cross multiply
    305,086.50x = 421,019.37 × 177,737.49
  4. Step 4: Simplify right side
    305,086.50x = 74,830,926,065.18
  5. Step 5: Solve for x
    x = 74,830,926,065.18/305,086.50
  6. Step 6: Final answer
    x = 245,277.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.