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Finding the Fourth Proportional to 354,629.76, 489,322.24 and 211,403.12

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Solution

The fourth proportional to 354,629.76, 489,322.24 and 211,403.12 is: 291,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,629.76 : 489,322.24 = 211,403.12 : x
  2. Step 2: Convert to fraction form
    354,629.76/489,322.24 = 211,403.12/x
  3. Step 3: Cross multiply
    354,629.76x = 489,322.24 × 211,403.12
  4. Step 4: Simplify right side
    354,629.76x = 103,444,248,221.39
  5. Step 5: Solve for x
    x = 103,444,248,221.39/354,629.76
  6. Step 6: Final answer
    x = 291,696.47

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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.