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Finding the Fourth Proportional to 290,938.54, 401,459.92 and 161,846.51

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Solution

The fourth proportional to 290,938.54, 401,459.92 and 161,846.51 is: 223,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,938.54 : 401,459.92 = 161,846.51 : x
  2. Step 2: Convert to fraction form
    290,938.54/401,459.92 = 161,846.51/x
  3. Step 3: Cross multiply
    290,938.54x = 401,459.92 × 161,846.51
  4. Step 4: Simplify right side
    290,938.54x = 64,974,886,956.88
  5. Step 5: Solve for x
    x = 64,974,886,956.88/290,938.54
  6. Step 6: Final answer
    x = 223,328.57

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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.