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Finding the Fourth Proportional to 290,810.20, 401,318.74 and 163,486.84

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Solution

The fourth proportional to 290,810.20, 401,318.74 and 163,486.84 is: 225,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,810.20 : 401,318.74 = 163,486.84 : x
  2. Step 2: Convert to fraction form
    290,810.20/401,318.74 = 163,486.84/x
  3. Step 3: Cross multiply
    290,810.20x = 401,318.74 × 163,486.84
  4. Step 4: Simplify right side
    290,810.20x = 65,610,332,635.38
  5. Step 5: Solve for x
    x = 65,610,332,635.38/290,810.20
  6. Step 6: Final answer
    x = 225,612.21

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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.