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Finding the Fourth Proportional to 1,922,978.40, 2,884,467.60 and 1,213,807.20

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Solution

The fourth proportional to 1,922,978.40, 2,884,467.60 and 1,213,807.20 is: 1,820,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,978.40 : 2,884,467.60 = 1,213,807.20 : x
  2. Step 2: Convert to fraction form
    1,922,978.40/2,884,467.60 = 1,213,807.20/x
  3. Step 3: Cross multiply
    1,922,978.40x = 2,884,467.60 × 1,213,807.20
  4. Step 4: Simplify right side
    1,922,978.40x = 3,501,187,541,046.72
  5. Step 5: Solve for x
    x = 3,501,187,541,046.72/1,922,978.40
  6. Step 6: Final answer
    x = 1,820,710.80

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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.