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Finding the Fourth Proportional to 290,649.60, 401,106.60 and 163,322.64

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Solution

The fourth proportional to 290,649.60, 401,106.60 and 163,322.64 is: 225,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,649.60 : 401,106.60 = 163,322.64 : x
  2. Step 2: Convert to fraction form
    290,649.60/401,106.60 = 163,322.64/x
  3. Step 3: Cross multiply
    290,649.60x = 401,106.60 × 163,322.64
  4. Step 4: Simplify right side
    290,649.60x = 65,509,788,833.42
  5. Step 5: Solve for x
    x = 65,509,788,833.42/290,649.60
  6. Step 6: Final answer
    x = 225,390.95

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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.