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Finding the Fourth Proportional to 290,608.36, 401,024.12 and 163,275.75

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Solution

The fourth proportional to 290,608.36, 401,024.12 and 163,275.75 is: 225,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,608.36 : 401,024.12 = 163,275.75 : x
  2. Step 2: Convert to fraction form
    290,608.36/401,024.12 = 163,275.75/x
  3. Step 3: Cross multiply
    290,608.36x = 401,024.12 × 163,275.75
  4. Step 4: Simplify right side
    290,608.36x = 65,477,513,144.71
  5. Step 5: Solve for x
    x = 65,477,513,144.71/290,608.36
  6. Step 6: Final answer
    x = 225,311.87

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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.