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Finding the Fourth Proportional to 420,803.56, 631,205.34 and 171,441.64

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Solution

The fourth proportional to 420,803.56, 631,205.34 and 171,441.64 is: 257,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,803.56 : 631,205.34 = 171,441.64 : x
  2. Step 2: Convert to fraction form
    420,803.56/631,205.34 = 171,441.64/x
  3. Step 3: Cross multiply
    420,803.56x = 631,205.34 × 171,441.64
  4. Step 4: Simplify right side
    420,803.56x = 108,214,878,666.36
  5. Step 5: Solve for x
    x = 108,214,878,666.36/420,803.56
  6. Step 6: Final answer
    x = 257,162.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.