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Finding the Fourth Proportional to 631,502.10, 871,462.72 and 345,016.04

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Solution

The fourth proportional to 631,502.10, 871,462.72 and 345,016.04 is: 476,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,502.10 : 871,462.72 = 345,016.04 : x
  2. Step 2: Convert to fraction form
    631,502.10/871,462.72 = 345,016.04/x
  3. Step 3: Cross multiply
    631,502.10x = 871,462.72 × 345,016.04
  4. Step 4: Simplify right side
    631,502.10x = 300,668,616,662.03
  5. Step 5: Solve for x
    x = 300,668,616,662.03/631,502.10
  6. Step 6: Final answer
    x = 476,116.57

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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.