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Finding the Fourth Proportional to 289,603,690.90, 434,405,536.35 and 85,152,433.30

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Solution

The fourth proportional to 289,603,690.90, 434,405,536.35 and 85,152,433.30 is: 127,728,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,603,690.90 : 434,405,536.35 = 85,152,433.30 : x
  2. Step 2: Convert to fraction form
    289,603,690.90/434,405,536.35 = 85,152,433.30/x
  3. Step 3: Cross multiply
    289,603,690.90x = 434,405,536.35 × 85,152,433.30
  4. Step 4: Simplify right side
    289,603,690.90x = 36,990,688,459,194,104
  5. Step 5: Solve for x
    x = 36,990,688,459,194,104/289,603,690.90
  6. Step 6: Final answer
    x = 127,728,649.95

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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.