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Finding the Fourth Proportional to 785,490, 1,083,976.20 and 427,794

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Solution

The fourth proportional to 785,490, 1,083,976.20 and 427,794 is: 590,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,490 : 1,083,976.20 = 427,794 : x
  2. Step 2: Convert to fraction form
    785,490/1,083,976.20 = 427,794/x
  3. Step 3: Cross multiply
    785,490x = 1,083,976.20 × 427,794
  4. Step 4: Simplify right side
    785,490x = 463,718,514,502.80
  5. Step 5: Solve for x
    x = 463,718,514,502.80/785,490
  6. Step 6: Final answer
    x = 590,355.72

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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.