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Finding the Fourth Proportional to 1,971,145.80, 2,954,531.70 and 772,669.80

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Solution

The fourth proportional to 1,971,145.80, 2,954,531.70 and 772,669.80 is: 1,158,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,145.80 : 2,954,531.70 = 772,669.80 : x
  2. Step 2: Convert to fraction form
    1,971,145.80/2,954,531.70 = 772,669.80/x
  3. Step 3: Cross multiply
    1,971,145.80x = 2,954,531.70 × 772,669.80
  4. Step 4: Simplify right side
    1,971,145.80x = 2,282,877,417,732.66
  5. Step 5: Solve for x
    x = 2,282,877,417,732.66/1,971,145.80
  6. Step 6: Final answer
    x = 1,158,147.42

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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.