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Finding the Fourth Proportional to 280,902,451.60, 421,353,677.40 and 280,902,451.60

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Solution

The fourth proportional to 280,902,451.60, 421,353,677.40 and 280,902,451.60 is: 421,353,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,902,451.60 : 421,353,677.40 = 280,902,451.60 : x
  2. Step 2: Convert to fraction form
    280,902,451.60/421,353,677.40 = 280,902,451.60/x
  3. Step 3: Cross multiply
    280,902,451.60x = 421,353,677.40 × 280,902,451.60
  4. Step 4: Simplify right side
    280,902,451.60x = 118,359,280,972,335,520
  5. Step 5: Solve for x
    x = 118,359,280,972,335,520/280,902,451.60
  6. Step 6: Final answer
    x = 421,353,677.40

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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.