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Finding the Fourth Proportional to 289,657,318.80, 434,485,978.20 and 180,605,625.60

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Solution

The fourth proportional to 289,657,318.80, 434,485,978.20 and 180,605,625.60 is: 270,908,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,657,318.80 : 434,485,978.20 = 180,605,625.60 : x
  2. Step 2: Convert to fraction form
    289,657,318.80/434,485,978.20 = 180,605,625.60/x
  3. Step 3: Cross multiply
    289,657,318.80x = 434,485,978.20 × 180,605,625.60
  4. Step 4: Simplify right side
    289,657,318.80x = 78,470,611,907,238,960
  5. Step 5: Solve for x
    x = 78,470,611,907,238,960/289,657,318.80
  6. Step 6: Final answer
    x = 270,908,438.40

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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.