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Finding the Fourth Proportional to 1,294,878.96, 1,786,297.86 and 865,264.68

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Solution

The fourth proportional to 1,294,878.96, 1,786,297.86 and 865,264.68 is: 1,193,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,878.96 : 1,786,297.86 = 865,264.68 : x
  2. Step 2: Convert to fraction form
    1,294,878.96/1,786,297.86 = 865,264.68/x
  3. Step 3: Cross multiply
    1,294,878.96x = 1,786,297.86 × 865,264.68
  4. Step 4: Simplify right side
    1,294,878.96x = 1,545,620,446,217.59
  5. Step 5: Solve for x
    x = 1,545,620,446,217.59/1,294,878.96
  6. Step 6: Final answer
    x = 1,193,640.87

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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.