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Finding the Fourth Proportional to 422,784.36, 634,176.54 and 142,278.12

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Solution

The fourth proportional to 422,784.36, 634,176.54 and 142,278.12 is: 213,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,784.36 : 634,176.54 = 142,278.12 : x
  2. Step 2: Convert to fraction form
    422,784.36/634,176.54 = 142,278.12/x
  3. Step 3: Cross multiply
    422,784.36x = 634,176.54 × 142,278.12
  4. Step 4: Simplify right side
    422,784.36x = 90,229,445,859.30
  5. Step 5: Solve for x
    x = 90,229,445,859.30/422,784.36
  6. Step 6: Final answer
    x = 213,417.18

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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.