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Finding the Fourth Proportional to 422,423.28, 632,060.04 and 417,699.12

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Solution

The fourth proportional to 422,423.28, 632,060.04 and 417,699.12 is: 624,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,423.28 : 632,060.04 = 417,699.12 : x
  2. Step 2: Convert to fraction form
    422,423.28/632,060.04 = 417,699.12/x
  3. Step 3: Cross multiply
    422,423.28x = 632,060.04 × 417,699.12
  4. Step 4: Simplify right side
    422,423.28x = 264,010,922,495.17
  5. Step 5: Solve for x
    x = 264,010,922,495.17/422,423.28
  6. Step 6: Final answer
    x = 624,991.41

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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.