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Finding the Fourth Proportional to 564,138,891, 778,511,665.94 and 316,620,245.25

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Solution

The fourth proportional to 564,138,891, 778,511,665.94 and 316,620,245.25 is: 436,935,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,138,891 : 778,511,665.94 = 316,620,245.25 : x
  2. Step 2: Convert to fraction form
    564,138,891/778,511,665.94 = 316,620,245.25/x
  3. Step 3: Cross multiply
    564,138,891x = 778,511,665.94 × 316,620,245.25
  4. Step 4: Simplify right side
    564,138,891x = 246,492,554,598,325,760
  5. Step 5: Solve for x
    x = 246,492,554,598,325,760/564,138,891
  6. Step 6: Final answer
    x = 436,935,936.40

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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.