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Finding the Fourth Proportional to 422,708.50, 634,051.59 and 123,271.72

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Solution

The fourth proportional to 422,708.50, 634,051.59 and 123,271.72 is: 184,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,708.50 : 634,051.59 = 123,271.72 : x
  2. Step 2: Convert to fraction form
    422,708.50/634,051.59 = 123,271.72/x
  3. Step 3: Cross multiply
    422,708.50x = 634,051.59 × 123,271.72
  4. Step 4: Simplify right side
    422,708.50x = 78,160,630,068.03
  5. Step 5: Solve for x
    x = 78,160,630,068.03/422,708.50
  6. Step 6: Final answer
    x = 184,904.33

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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.