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Finding the Fourth Proportional to 369,608,780.76, 509,978,573.79 and 218,826,566.12

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Solution

The fourth proportional to 369,608,780.76, 509,978,573.79 and 218,826,566.12 is: 301,932,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,608,780.76 : 509,978,573.79 = 218,826,566.12 : x
  2. Step 2: Convert to fraction form
    369,608,780.76/509,978,573.79 = 218,826,566.12/x
  3. Step 3: Cross multiply
    369,608,780.76x = 509,978,573.79 × 218,826,566.12
  4. Step 4: Simplify right side
    369,608,780.76x = 111,596,860,094,690,848
  5. Step 5: Solve for x
    x = 111,596,860,094,690,848/369,608,780.76
  6. Step 6: Final answer
    x = 301,932,383.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.