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Finding the Fourth Proportional to 291,049.48, 401,646.76 and 163,726

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Solution

The fourth proportional to 291,049.48, 401,646.76 and 163,726 is: 225,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,049.48 : 401,646.76 = 163,726 : x
  2. Step 2: Convert to fraction form
    291,049.48/401,646.76 = 163,726/x
  3. Step 3: Cross multiply
    291,049.48x = 401,646.76 × 163,726
  4. Step 4: Simplify right side
    291,049.48x = 65,760,017,427.76
  5. Step 5: Solve for x
    x = 65,760,017,427.76/291,049.48
  6. Step 6: Final answer
    x = 225,941.02

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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.