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Finding the Fourth Proportional to 290,858.40, 401,374.32 and 163,541.28

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Solution

The fourth proportional to 290,858.40, 401,374.32 and 163,541.28 is: 225,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,858.40 : 401,374.32 = 163,541.28 : x
  2. Step 2: Convert to fraction form
    290,858.40/401,374.32 = 163,541.28/x
  3. Step 3: Cross multiply
    290,858.40x = 401,374.32 × 163,541.28
  4. Step 4: Simplify right side
    290,858.40x = 65,641,270,051.93
  5. Step 5: Solve for x
    x = 65,641,270,051.93/290,858.40
  6. Step 6: Final answer
    x = 225,681.19

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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.