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Finding the Fourth Proportional to 682,398, 941,709.24 and 380,592

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Solution

The fourth proportional to 682,398, 941,709.24 and 380,592 is: 525,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,398 : 941,709.24 = 380,592 : x
  2. Step 2: Convert to fraction form
    682,398/941,709.24 = 380,592/x
  3. Step 3: Cross multiply
    682,398x = 941,709.24 × 380,592
  4. Step 4: Simplify right side
    682,398x = 358,407,003,070.08
  5. Step 5: Solve for x
    x = 358,407,003,070.08/682,398
  6. Step 6: Final answer
    x = 525,216.96

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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.