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Finding the Fourth Proportional to 893,902,979.80, 1,340,911,147.02 and 280,511,415.64

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Solution

The fourth proportional to 893,902,979.80, 1,340,911,147.02 and 280,511,415.64 is: 420,784,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,902,979.80 : 1,340,911,147.02 = 280,511,415.64 : x
  2. Step 2: Convert to fraction form
    893,902,979.80/1,340,911,147.02 = 280,511,415.64/x
  3. Step 3: Cross multiply
    893,902,979.80x = 1,340,911,147.02 × 280,511,415.64
  4. Step 4: Simplify right side
    893,902,979.80x = 376,140,884,098,036,352
  5. Step 5: Solve for x
    x = 376,140,884,098,036,352/893,902,979.80
  6. Step 6: Final answer
    x = 420,784,909.10

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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.