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Finding the Fourth Proportional to 1,978,018,844.10, 2,967,028,266.15 and 814,322,486.40

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Solution

The fourth proportional to 1,978,018,844.10, 2,967,028,266.15 and 814,322,486.40 is: 1,221,483,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,018,844.10 : 2,967,028,266.15 = 814,322,486.40 : x
  2. Step 2: Convert to fraction form
    1,978,018,844.10/2,967,028,266.15 = 814,322,486.40/x
  3. Step 3: Cross multiply
    1,978,018,844.10x = 2,967,028,266.15 × 814,322,486.40
  4. Step 4: Simplify right side
    1,978,018,844.10x = 2,416,117,834,910,348,800
  5. Step 5: Solve for x
    x = 2,416,117,834,910,348,800/1,978,018,844.10
  6. Step 6: Final answer
    x = 1,221,483,729.60

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1.5x scale

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.