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Finding the Fourth Proportional to 631,716.50, 871,810.80 and 356,142.32

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Solution

The fourth proportional to 631,716.50, 871,810.80 and 356,142.32 is: 491,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,716.50 : 871,810.80 = 356,142.32 : x
  2. Step 2: Convert to fraction form
    631,716.50/871,810.80 = 356,142.32/x
  3. Step 3: Cross multiply
    631,716.50x = 871,810.80 × 356,142.32
  4. Step 4: Simplify right side
    631,716.50x = 310,488,720,913.06
  5. Step 5: Solve for x
    x = 310,488,720,913.06/631,716.50
  6. Step 6: Final answer
    x = 491,500.10

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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.