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Finding the Fourth Proportional to 896,354, 1,236,968.52 and 493,946

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Solution

The fourth proportional to 896,354, 1,236,968.52 and 493,946 is: 681,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,354 : 1,236,968.52 = 493,946 : x
  2. Step 2: Convert to fraction form
    896,354/1,236,968.52 = 493,946/x
  3. Step 3: Cross multiply
    896,354x = 1,236,968.52 × 493,946
  4. Step 4: Simplify right side
    896,354x = 610,995,652,579.92
  5. Step 5: Solve for x
    x = 610,995,652,579.92/896,354
  6. Step 6: Final answer
    x = 681,645.48

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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.