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Finding the Fourth Proportional to 290,311,998.80, 434,964,113.40 and 188,023,384.40

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Solution

The fourth proportional to 290,311,998.80, 434,964,113.40 and 188,023,384.40 is: 281,708,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,311,998.80 : 434,964,113.40 = 188,023,384.40 : x
  2. Step 2: Convert to fraction form
    290,311,998.80/434,964,113.40 = 188,023,384.40/x
  3. Step 3: Cross multiply
    290,311,998.80x = 434,964,113.40 × 188,023,384.40
  4. Step 4: Simplify right side
    290,311,998.80x = 81,783,424,694,013,392
  5. Step 5: Solve for x
    x = 81,783,424,694,013,392/290,311,998.80
  6. Step 6: Final answer
    x = 281,708,730.72

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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.