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Finding the Fourth Proportional to 273,060,662.40, 409,644,137.70 and 78,978,409.20

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Solution

The fourth proportional to 273,060,662.40, 409,644,137.70 and 78,978,409.20 is: 118,482,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,060,662.40 : 409,644,137.70 = 78,978,409.20 : x
  2. Step 2: Convert to fraction form
    273,060,662.40/409,644,137.70 = 78,978,409.20/x
  3. Step 3: Cross multiply
    273,060,662.40x = 409,644,137.70 × 78,978,409.20
  4. Step 4: Simplify right side
    273,060,662.40x = 32,353,042,333,651,748
  5. Step 5: Solve for x
    x = 32,353,042,333,651,748/273,060,662.40
  6. Step 6: Final answer
    x = 118,482,984.88

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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.