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Finding the Fourth Proportional to 402,563.70, 603,845.16 and 103,043.81

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Solution

The fourth proportional to 402,563.70, 603,845.16 and 103,043.81 is: 154,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,563.70 : 603,845.16 = 103,043.81 : x
  2. Step 2: Convert to fraction form
    402,563.70/603,845.16 = 103,043.81/x
  3. Step 3: Cross multiply
    402,563.70x = 603,845.16 × 103,043.81
  4. Step 4: Simplify right side
    402,563.70x = 62,222,505,936.46
  5. Step 5: Solve for x
    x = 62,222,505,936.46/402,563.70
  6. Step 6: Final answer
    x = 154,565.62

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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.