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Finding the Fourth Proportional to 783,616, 1,081,390.08 and 425,920

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Solution

The fourth proportional to 783,616, 1,081,390.08 and 425,920 is: 587,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,616 : 1,081,390.08 = 425,920 : x
  2. Step 2: Convert to fraction form
    783,616/1,081,390.08 = 425,920/x
  3. Step 3: Cross multiply
    783,616x = 1,081,390.08 × 425,920
  4. Step 4: Simplify right side
    783,616x = 460,585,662,873.60
  5. Step 5: Solve for x
    x = 460,585,662,873.60/783,616
  6. Step 6: Final answer
    x = 587,769.60

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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.