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Finding the Fourth Proportional to 290,565.36, 400,958.64 and 163,262.16

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Solution

The fourth proportional to 290,565.36, 400,958.64 and 163,262.16 is: 225,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,565.36 : 400,958.64 = 163,262.16 : x
  2. Step 2: Convert to fraction form
    290,565.36/400,958.64 = 163,262.16/x
  3. Step 3: Cross multiply
    290,565.36x = 400,958.64 × 163,262.16
  4. Step 4: Simplify right side
    290,565.36x = 65,461,373,637.06
  5. Step 5: Solve for x
    x = 65,461,373,637.06/290,565.36
  6. Step 6: Final answer
    x = 225,289.67

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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.