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Finding the Fourth Proportional to 422,873.16, 634,244.10 and 123,322.51

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Solution

The fourth proportional to 422,873.16, 634,244.10 and 123,322.51 is: 184,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,873.16 : 634,244.10 = 123,322.51 : x
  2. Step 2: Convert to fraction form
    422,873.16/634,244.10 = 123,322.51/x
  3. Step 3: Cross multiply
    422,873.16x = 634,244.10 × 123,322.51
  4. Step 4: Simplify right side
    422,873.16x = 78,216,574,364.69
  5. Step 5: Solve for x
    x = 78,216,574,364.69/422,873.16
  6. Step 6: Final answer
    x = 184,964.62

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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.