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Finding the Fourth Proportional to 290,953.31, 401,468.64 and 163,621.31

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Solution

The fourth proportional to 290,953.31, 401,468.64 and 163,621.31 is: 225,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,953.31 : 401,468.64 = 163,621.31 : x
  2. Step 2: Convert to fraction form
    290,953.31/401,468.64 = 163,621.31/x
  3. Step 3: Cross multiply
    290,953.31x = 401,468.64 × 163,621.31
  4. Step 4: Simplify right side
    290,953.31x = 65,688,824,800.72
  5. Step 5: Solve for x
    x = 65,688,824,800.72/290,953.31
  6. Step 6: Final answer
    x = 225,771.02

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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.