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Finding the Fourth Proportional to 422,291.60, 633,437.21 and 169,572

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Solution

The fourth proportional to 422,291.60, 633,437.21 and 169,572 is: 254,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,291.60 : 633,437.21 = 169,572 : x
  2. Step 2: Convert to fraction form
    422,291.60/633,437.21 = 169,572/x
  3. Step 3: Cross multiply
    422,291.60x = 633,437.21 × 169,572
  4. Step 4: Simplify right side
    422,291.60x = 107,413,214,574.12
  5. Step 5: Solve for x
    x = 107,413,214,574.12/422,291.60
  6. Step 6: Final answer
    x = 254,357.92

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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.