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Finding the Fourth Proportional to 422,429.60, 634,335.60 and 282,807.20

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Solution

The fourth proportional to 422,429.60, 634,335.60 and 282,807.20 is: 424,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,429.60 : 634,335.60 = 282,807.20 : x
  2. Step 2: Convert to fraction form
    422,429.60/634,335.60 = 282,807.20/x
  3. Step 3: Cross multiply
    422,429.60x = 634,335.60 × 282,807.20
  4. Step 4: Simplify right side
    422,429.60x = 179,394,674,896.32
  5. Step 5: Solve for x
    x = 179,394,674,896.32/422,429.60
  6. Step 6: Final answer
    x = 424,673.54

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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.