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Finding the Fourth Proportional to 893,902,978.80, 1,340,911,145.52 and 280,511,414.64

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Solution

The fourth proportional to 893,902,978.80, 1,340,911,145.52 and 280,511,414.64 is: 420,784,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,902,978.80 : 1,340,911,145.52 = 280,511,414.64 : x
  2. Step 2: Convert to fraction form
    893,902,978.80/1,340,911,145.52 = 280,511,414.64/x
  3. Step 3: Cross multiply
    893,902,978.80x = 1,340,911,145.52 × 280,511,414.64
  4. Step 4: Simplify right side
    893,902,978.80x = 376,140,882,336,358,080
  5. Step 5: Solve for x
    x = 376,140,882,336,358,080/893,902,978.80
  6. Step 6: Final answer
    x = 420,784,907.60

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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.