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Finding the Fourth Proportional to 298,741.16, 447,893.03 and 140,883.50

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Solution

The fourth proportional to 298,741.16, 447,893.03 and 140,883.50 is: 211,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,741.16 : 447,893.03 = 140,883.50 : x
  2. Step 2: Convert to fraction form
    298,741.16/447,893.03 = 140,883.50/x
  3. Step 3: Cross multiply
    298,741.16x = 447,893.03 × 140,883.50
  4. Step 4: Simplify right side
    298,741.16x = 63,100,736,987.59
  5. Step 5: Solve for x
    x = 63,100,736,987.59/298,741.16
  6. Step 6: Final answer
    x = 211,222.11

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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.