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Finding the Fourth Proportional to 298,603.40, 447,905.10 and 269,078.90

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Solution

The fourth proportional to 298,603.40, 447,905.10 and 269,078.90 is: 403,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,603.40 : 447,905.10 = 269,078.90 : x
  2. Step 2: Convert to fraction form
    298,603.40/447,905.10 = 269,078.90/x
  3. Step 3: Cross multiply
    298,603.40x = 447,905.10 × 269,078.90
  4. Step 4: Simplify right side
    298,603.40x = 120,521,811,612.39
  5. Step 5: Solve for x
    x = 120,521,811,612.39/298,603.40
  6. Step 6: Final answer
    x = 403,618.35

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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.