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Finding the Fourth Proportional to 1,435,476.54, 1,981,002.54 and 823,741.32

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Solution

The fourth proportional to 1,435,476.54, 1,981,002.54 and 823,741.32 is: 1,136,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,476.54 : 1,981,002.54 = 823,741.32 : x
  2. Step 2: Convert to fraction form
    1,435,476.54/1,981,002.54 = 823,741.32/x
  3. Step 3: Cross multiply
    1,435,476.54x = 1,981,002.54 × 823,741.32
  4. Step 4: Simplify right side
    1,435,476.54x = 1,631,833,647,222.95
  5. Step 5: Solve for x
    x = 1,631,833,647,222.95/1,435,476.54
  6. Step 6: Final answer
    x = 1,136,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.