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Finding the Fourth Proportional to 896,356, 1,236,971.28 and 493,948

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Solution

The fourth proportional to 896,356, 1,236,971.28 and 493,948 is: 681,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,356 : 1,236,971.28 = 493,948 : x
  2. Step 2: Convert to fraction form
    896,356/1,236,971.28 = 493,948/x
  3. Step 3: Cross multiply
    896,356x = 1,236,971.28 × 493,948
  4. Step 4: Simplify right side
    896,356x = 610,999,489,813.44
  5. Step 5: Solve for x
    x = 610,999,489,813.44/896,356
  6. Step 6: Final answer
    x = 681,648.24

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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.