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Finding the Fourth Proportional to 631,484.64, 871,452 and 345,009.78

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Solution

The fourth proportional to 631,484.64, 871,452 and 345,009.78 is: 476,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,484.64 : 871,452 = 345,009.78 : x
  2. Step 2: Convert to fraction form
    631,484.64/871,452 = 345,009.78/x
  3. Step 3: Cross multiply
    631,484.64x = 871,452 × 345,009.78
  4. Step 4: Simplify right side
    631,484.64x = 300,659,462,800.56
  5. Step 5: Solve for x
    x = 300,659,462,800.56/631,484.64
  6. Step 6: Final answer
    x = 476,115.24

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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.