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Finding the Fourth Proportional to 1,494,679,978.40, 2,242,019,967.60 and 511,779,848.92

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Solution

The fourth proportional to 1,494,679,978.40, 2,242,019,967.60 and 511,779,848.92 is: 767,669,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,679,978.40 : 2,242,019,967.60 = 511,779,848.92 : x
  2. Step 2: Convert to fraction form
    1,494,679,978.40/2,242,019,967.60 = 511,779,848.92/x
  3. Step 3: Cross multiply
    1,494,679,978.40x = 2,242,019,967.60 × 511,779,848.92
  4. Step 4: Simplify right side
    1,494,679,978.40x = 1,147,420,640,293,951,232
  5. Step 5: Solve for x
    x = 1,147,420,640,293,951,232/1,494,679,978.40
  6. Step 6: Final answer
    x = 767,669,773.38

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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.