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Finding the Fourth Proportional to 12,446,784.80, 18,662,804.40 and 6,474,816.80

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Solution

The fourth proportional to 12,446,784.80, 18,662,804.40 and 6,474,816.80 is: 9,708,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446,784.80 : 18,662,804.40 = 6,474,816.80 : x
  2. Step 2: Convert to fraction form
    12,446,784.80/18,662,804.40 = 6,474,816.80/x
  3. Step 3: Cross multiply
    12,446,784.80x = 18,662,804.40 × 6,474,816.80
  4. Step 4: Simplify right side
    12,446,784.80x = 120,838,239,464,233.91
  5. Step 5: Solve for x
    x = 120,838,239,464,233.91/12,446,784.80
  6. Step 6: Final answer
    x = 9,708,389.87

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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.