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Finding the Fourth Proportional to 298,038.76, 447,056.78 and 120,543.56

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Solution

The fourth proportional to 298,038.76, 447,056.78 and 120,543.56 is: 180,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,038.76 : 447,056.78 = 120,543.56 : x
  2. Step 2: Convert to fraction form
    298,038.76/447,056.78 = 120,543.56/x
  3. Step 3: Cross multiply
    298,038.76x = 447,056.78 × 120,543.56
  4. Step 4: Simplify right side
    298,038.76x = 53,889,815,783.34
  5. Step 5: Solve for x
    x = 53,889,815,783.34/298,038.76
  6. Step 6: Final answer
    x = 180,814.79

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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.