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Finding the Fourth Proportional to 671,976,268.80, 1,007,964,403.20 and 211,960,939.20

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Solution

The fourth proportional to 671,976,268.80, 1,007,964,403.20 and 211,960,939.20 is: 317,941,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,976,268.80 : 1,007,964,403.20 = 211,960,939.20 : x
  2. Step 2: Convert to fraction form
    671,976,268.80/1,007,964,403.20 = 211,960,939.20/x
  3. Step 3: Cross multiply
    671,976,268.80x = 1,007,964,403.20 × 211,960,939.20
  4. Step 4: Simplify right side
    671,976,268.80x = 213,649,081,582,439,488
  5. Step 5: Solve for x
    x = 213,649,081,582,439,488/671,976,268.80
  6. Step 6: Final answer
    x = 317,941,408.80

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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.