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Finding the Fourth Proportional to 9,978,449.90, 14,946,679.65 and 8,298,833.90

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Solution

The fourth proportional to 9,978,449.90, 14,946,679.65 and 8,298,833.90 is: 12,430,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978,449.90 : 14,946,679.65 = 8,298,833.90 : x
  2. Step 2: Convert to fraction form
    9,978,449.90/14,946,679.65 = 8,298,833.90/x
  3. Step 3: Cross multiply
    9,978,449.90x = 14,946,679.65 × 8,298,833.90
  4. Step 4: Simplify right side
    9,978,449.90x = 124,040,011,771,860.14
  5. Step 5: Solve for x
    x = 124,040,011,771,860.14/9,978,449.90
  6. Step 6: Final answer
    x = 12,430,789.65

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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.