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Finding the Fourth Proportional to 291,072.79, 401,679.84 and 163,748.47

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Solution

The fourth proportional to 291,072.79, 401,679.84 and 163,748.47 is: 225,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,072.79 : 401,679.84 = 163,748.47 : x
  2. Step 2: Convert to fraction form
    291,072.79/401,679.84 = 163,748.47/x
  3. Step 3: Cross multiply
    291,072.79x = 401,679.84 × 163,748.47
  4. Step 4: Simplify right side
    291,072.79x = 65,774,459,229.84
  5. Step 5: Solve for x
    x = 65,774,459,229.84/291,072.79
  6. Step 6: Final answer
    x = 225,972.55

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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.