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Finding the Fourth Proportional to 298,072.40, 447,013.76 and 98,355.56

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Solution

The fourth proportional to 298,072.40, 447,013.76 and 98,355.56 is: 147,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,072.40 : 447,013.76 = 98,355.56 : x
  2. Step 2: Convert to fraction form
    298,072.40/447,013.76 = 98,355.56/x
  3. Step 3: Cross multiply
    298,072.40x = 447,013.76 × 98,355.56
  4. Step 4: Simplify right side
    298,072.40x = 43,966,285,965.66
  5. Step 5: Solve for x
    x = 43,966,285,965.66/298,072.40
  6. Step 6: Final answer
    x = 147,502.04

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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.