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Finding the Fourth Proportional to 280,702,594.80, 420,990,906.60 and 184,334,626.80

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Solution

The fourth proportional to 280,702,594.80, 420,990,906.60 and 184,334,626.80 is: 276,460,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,702,594.80 : 420,990,906.60 = 184,334,626.80 : x
  2. Step 2: Convert to fraction form
    280,702,594.80/420,990,906.60 = 184,334,626.80/x
  3. Step 3: Cross multiply
    280,702,594.80x = 420,990,906.60 × 184,334,626.80
  4. Step 4: Simplify right side
    280,702,594.80x = 77,603,201,654,304,672
  5. Step 5: Solve for x
    x = 77,603,201,654,304,672/280,702,594.80
  6. Step 6: Final answer
    x = 276,460,578.18

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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.