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Finding the Fourth Proportional to 280,552,690.60, 420,829,035.90 and 86,446,817.80

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Solution

The fourth proportional to 280,552,690.60, 420,829,035.90 and 86,446,817.80 is: 129,670,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,552,690.60 : 420,829,035.90 = 86,446,817.80 : x
  2. Step 2: Convert to fraction form
    280,552,690.60/420,829,035.90 = 86,446,817.80/x
  3. Step 3: Cross multiply
    280,552,690.60x = 420,829,035.90 × 86,446,817.80
  4. Step 4: Simplify right side
    280,552,690.60x = 36,379,330,991,396,952
  5. Step 5: Solve for x
    x = 36,379,330,991,396,952/280,552,690.60
  6. Step 6: Final answer
    x = 129,670,226.70

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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.