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Finding the Fourth Proportional to 288,987.16, 398,786.24 and 161,638.16

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Solution

The fourth proportional to 288,987.16, 398,786.24 and 161,638.16 is: 223,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,987.16 : 398,786.24 = 161,638.16 : x
  2. Step 2: Convert to fraction form
    288,987.16/398,786.24 = 161,638.16/x
  3. Step 3: Cross multiply
    288,987.16x = 398,786.24 × 161,638.16
  4. Step 4: Simplify right side
    288,987.16x = 64,459,074,066.92
  5. Step 5: Solve for x
    x = 64,459,074,066.92/288,987.16
  6. Step 6: Final answer
    x = 223,051.69

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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.