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Finding the Fourth Proportional to 500,420.63, 749,912.19 and 284,450.97

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Solution

The fourth proportional to 500,420.63, 749,912.19 and 284,450.97 is: 426,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,420.63 : 749,912.19 = 284,450.97 : x
  2. Step 2: Convert to fraction form
    500,420.63/749,912.19 = 284,450.97/x
  3. Step 3: Cross multiply
    500,420.63x = 749,912.19 × 284,450.97
  4. Step 4: Simplify right side
    500,420.63x = 213,313,249,860.32
  5. Step 5: Solve for x
    x = 213,313,249,860.32/500,420.63
  6. Step 6: Final answer
    x = 426,267.90

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1.5x scale

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.