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Finding the Fourth Proportional to 172,322.40, 257,900.40 and 151,327.20

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Solution

The fourth proportional to 172,322.40, 257,900.40 and 151,327.20 is: 226,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,322.40 : 257,900.40 = 151,327.20 : x
  2. Step 2: Convert to fraction form
    172,322.40/257,900.40 = 151,327.20/x
  3. Step 3: Cross multiply
    172,322.40x = 257,900.40 × 151,327.20
  4. Step 4: Simplify right side
    172,322.40x = 39,027,345,410.88
  5. Step 5: Solve for x
    x = 39,027,345,410.88/172,322.40
  6. Step 6: Final answer
    x = 226,478.66

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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.