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Finding the Fourth Proportional to 1,978,019,719.30, 2,967,029,578.95 and 504,156,679.30

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Solution

The fourth proportional to 1,978,019,719.30, 2,967,029,578.95 and 504,156,679.30 is: 756,235,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,019,719.30 : 2,967,029,578.95 = 504,156,679.30 : x
  2. Step 2: Convert to fraction form
    1,978,019,719.30/2,967,029,578.95 = 504,156,679.30/x
  3. Step 3: Cross multiply
    1,978,019,719.30x = 2,967,029,578.95 × 504,156,679.30
  4. Step 4: Simplify right side
    1,978,019,719.30x = 1,495,847,779,908,308,992
  5. Step 5: Solve for x
    x = 1,495,847,779,908,308,992/1,978,019,719.30
  6. Step 6: Final answer
    x = 756,235,018.95

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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.