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Finding the Fourth Proportional to 631,863.63, 871,971.75 and 345,384.86

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Solution

The fourth proportional to 631,863.63, 871,971.75 and 345,384.86 is: 476,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,863.63 : 871,971.75 = 345,384.86 : x
  2. Step 2: Convert to fraction form
    631,863.63/871,971.75 = 345,384.86/x
  3. Step 3: Cross multiply
    631,863.63x = 871,971.75 × 345,384.86
  4. Step 4: Simplify right side
    631,863.63x = 301,165,836,437.85
  5. Step 5: Solve for x
    x = 301,165,836,437.85/631,863.63
  6. Step 6: Final answer
    x = 476,631.07

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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.