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Finding the Fourth Proportional to 298,339.90, 447,465.42 and 98,661.34

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Solution

The fourth proportional to 298,339.90, 447,465.42 and 98,661.34 is: 147,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,339.90 : 447,465.42 = 98,661.34 : x
  2. Step 2: Convert to fraction form
    298,339.90/447,465.42 = 98,661.34/x
  3. Step 3: Cross multiply
    298,339.90x = 447,465.42 × 98,661.34
  4. Step 4: Simplify right side
    298,339.90x = 44,147,537,940.86
  5. Step 5: Solve for x
    x = 44,147,537,940.86/298,339.90
  6. Step 6: Final answer
    x = 147,977.32

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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.