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Finding the Fourth Proportional to 8,461,147.20, 12,698,978.40 and 3,416,078.40

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Solution

The fourth proportional to 8,461,147.20, 12,698,978.40 and 3,416,078.40 is: 5,127,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,147.20 : 12,698,978.40 = 3,416,078.40 : x
  2. Step 2: Convert to fraction form
    8,461,147.20/12,698,978.40 = 3,416,078.40/x
  3. Step 3: Cross multiply
    8,461,147.20x = 12,698,978.40 × 3,416,078.40
  4. Step 4: Simplify right side
    8,461,147.20x = 43,380,705,814,306.56
  5. Step 5: Solve for x
    x = 43,380,705,814,306.56/8,461,147.20
  6. Step 6: Final answer
    x = 5,127,047.76

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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.