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Finding the Fourth Proportional to 298,196.20, 446,948.70 and 120,615.40

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Solution

The fourth proportional to 298,196.20, 446,948.70 and 120,615.40 is: 180,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,196.20 : 446,948.70 = 120,615.40 : x
  2. Step 2: Convert to fraction form
    298,196.20/446,948.70 = 120,615.40/x
  3. Step 3: Cross multiply
    298,196.20x = 446,948.70 × 120,615.40
  4. Step 4: Simplify right side
    298,196.20x = 53,908,896,229.98
  5. Step 5: Solve for x
    x = 53,908,896,229.98/298,196.20
  6. Step 6: Final answer
    x = 180,783.31

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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.