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Finding the Fourth Proportional to 402,372.28, 603,558.64 and 149,619.93

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Solution

The fourth proportional to 402,372.28, 603,558.64 and 149,619.93 is: 224,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,372.28 : 603,558.64 = 149,619.93 : x
  2. Step 2: Convert to fraction form
    402,372.28/603,558.64 = 149,619.93/x
  3. Step 3: Cross multiply
    402,372.28x = 603,558.64 × 149,619.93
  4. Step 4: Simplify right side
    402,372.28x = 90,304,401,467.70
  5. Step 5: Solve for x
    x = 90,304,401,467.70/402,372.28
  6. Step 6: Final answer
    x = 224,429.98

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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.