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Finding the Fourth Proportional to 291,052.40, 401,648.04 and 163,728.08

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Solution

The fourth proportional to 291,052.40, 401,648.04 and 163,728.08 is: 225,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,052.40 : 401,648.04 = 163,728.08 : x
  2. Step 2: Convert to fraction form
    291,052.40/401,648.04 = 163,728.08/x
  3. Step 3: Cross multiply
    291,052.40x = 401,648.04 × 163,728.08
  4. Step 4: Simplify right side
    291,052.40x = 65,761,062,424.96
  5. Step 5: Solve for x
    x = 65,761,062,424.96/291,052.40
  6. Step 6: Final answer
    x = 225,942.35

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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.