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Finding the Fourth Proportional to 298,415.60, 447,623.40 and 120,928.40

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Solution

The fourth proportional to 298,415.60, 447,623.40 and 120,928.40 is: 181,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,415.60 : 447,623.40 = 120,928.40 : x
  2. Step 2: Convert to fraction form
    298,415.60/447,623.40 = 120,928.40/x
  3. Step 3: Cross multiply
    298,415.60x = 447,623.40 × 120,928.40
  4. Step 4: Simplify right side
    298,415.60x = 54,130,381,564.56
  5. Step 5: Solve for x
    x = 54,130,381,564.56/298,415.60
  6. Step 6: Final answer
    x = 181,392.60

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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.