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Finding the Fourth Proportional to 422,400.80, 632,434.80 and 329,088.80

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Solution

The fourth proportional to 422,400.80, 632,434.80 and 329,088.80 is: 492,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,400.80 : 632,434.80 = 329,088.80 : x
  2. Step 2: Convert to fraction form
    422,400.80/632,434.80 = 329,088.80/x
  3. Step 3: Cross multiply
    422,400.80x = 632,434.80 × 329,088.80
  4. Step 4: Simplify right side
    422,400.80x = 208,127,209,410.24
  5. Step 5: Solve for x
    x = 208,127,209,410.24/422,400.80
  6. Step 6: Final answer
    x = 492,724.47

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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.