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Finding the Fourth Proportional to 682,461.48, 941,817.06 and 380,649

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Solution

The fourth proportional to 682,461.48, 941,817.06 and 380,649 is: 525,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,461.48 : 941,817.06 = 380,649 : x
  2. Step 2: Convert to fraction form
    682,461.48/941,817.06 = 380,649/x
  3. Step 3: Cross multiply
    682,461.48x = 941,817.06 × 380,649
  4. Step 4: Simplify right side
    682,461.48x = 358,501,722,071.94
  5. Step 5: Solve for x
    x = 358,501,722,071.94/682,461.48
  6. Step 6: Final answer
    x = 525,306.90

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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.