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Finding the Fourth Proportional to 1,099,334,975.70, 1,649,002,463.55 and 978,804,156.90

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Solution

The fourth proportional to 1,099,334,975.70, 1,649,002,463.55 and 978,804,156.90 is: 1,468,206,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,334,975.70 : 1,649,002,463.55 = 978,804,156.90 : x
  2. Step 2: Convert to fraction form
    1,099,334,975.70/1,649,002,463.55 = 978,804,156.90/x
  3. Step 3: Cross multiply
    1,099,334,975.70x = 1,649,002,463.55 × 978,804,156.90
  4. Step 4: Simplify right side
    1,099,334,975.70x = 1,614,050,466,061,080,576
  5. Step 5: Solve for x
    x = 1,614,050,466,061,080,576/1,099,334,975.70
  6. Step 6: Final answer
    x = 1,468,206,235.35

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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.