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Finding the Fourth Proportional to 920,179.92, 1,269,738 and 512,184

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Solution

The fourth proportional to 920,179.92, 1,269,738 and 512,184 is: 706,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,179.92 : 1,269,738 = 512,184 : x
  2. Step 2: Convert to fraction form
    920,179.92/1,269,738 = 512,184/x
  3. Step 3: Cross multiply
    920,179.92x = 1,269,738 × 512,184
  4. Step 4: Simplify right side
    920,179.92x = 650,339,487,792
  5. Step 5: Solve for x
    x = 650,339,487,792/920,179.92
  6. Step 6: Final answer
    x = 706,752.53

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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.