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Finding the Fourth Proportional to 290,969.64, 401,534.28 and 163,645.20

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Solution

The fourth proportional to 290,969.64, 401,534.28 and 163,645.20 is: 225,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,969.64 : 401,534.28 = 163,645.20 : x
  2. Step 2: Convert to fraction form
    290,969.64/401,534.28 = 163,645.20/x
  3. Step 3: Cross multiply
    290,969.64x = 401,534.28 × 163,645.20
  4. Step 4: Simplify right side
    290,969.64x = 65,709,157,557.46
  5. Step 5: Solve for x
    x = 65,709,157,557.46/290,969.64
  6. Step 6: Final answer
    x = 225,828.23

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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.