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Finding the Fourth Proportional to 280,702,596.80, 420,990,909.60 and 184,334,628.80

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Solution

The fourth proportional to 280,702,596.80, 420,990,909.60 and 184,334,628.80 is: 276,460,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,702,596.80 : 420,990,909.60 = 184,334,628.80 : x
  2. Step 2: Convert to fraction form
    280,702,596.80/420,990,909.60 = 184,334,628.80/x
  3. Step 3: Cross multiply
    280,702,596.80x = 420,990,909.60 × 184,334,628.80
  4. Step 4: Simplify right side
    280,702,596.80x = 77,603,203,049,290,368
  5. Step 5: Solve for x
    x = 77,603,203,049,290,368/280,702,596.80
  6. Step 6: Final answer
    x = 276,460,581.18

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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.