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Finding the Fourth Proportional to 422,312.12, 633,509.40 and 122,795

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Solution

The fourth proportional to 422,312.12, 633,509.40 and 122,795 is: 184,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,312.12 : 633,509.40 = 122,795 : x
  2. Step 2: Convert to fraction form
    422,312.12/633,509.40 = 122,795/x
  3. Step 3: Cross multiply
    422,312.12x = 633,509.40 × 122,795
  4. Step 4: Simplify right side
    422,312.12x = 77,791,786,773
  5. Step 5: Solve for x
    x = 77,791,786,773/422,312.12
  6. Step 6: Final answer
    x = 184,204.49

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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.