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Finding the Fourth Proportional to 10,978,978.80, 16,456,658.40 and 4,152,914.40

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Solution

The fourth proportional to 10,978,978.80, 16,456,658.40 and 4,152,914.40 is: 6,224,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978,978.80 : 16,456,658.40 = 4,152,914.40 : x
  2. Step 2: Convert to fraction form
    10,978,978.80/16,456,658.40 = 4,152,914.40/x
  3. Step 3: Cross multiply
    10,978,978.80x = 16,456,658.40 × 4,152,914.40
  4. Step 4: Simplify right side
    10,978,978.80x = 68,343,093,645,240.96
  5. Step 5: Solve for x
    x = 68,343,093,645,240.96/10,978,978.80
  6. Step 6: Final answer
    x = 6,224,904.42

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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.