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Finding the Fourth Proportional to 783,387, 1,081,080.90 and 425,691

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Solution

The fourth proportional to 783,387, 1,081,080.90 and 425,691 is: 587,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,387 : 1,081,080.90 = 425,691 : x
  2. Step 2: Convert to fraction form
    783,387/1,081,080.90 = 425,691/x
  3. Step 3: Cross multiply
    783,387x = 1,081,080.90 × 425,691
  4. Step 4: Simplify right side
    783,387x = 460,206,409,401.90
  5. Step 5: Solve for x
    x = 460,206,409,401.90/783,387
  6. Step 6: Final answer
    x = 587,457.30

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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.