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Finding the Fourth Proportional to 457,399.50, 631,211.31 and 278,551.50

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Solution

The fourth proportional to 457,399.50, 631,211.31 and 278,551.50 is: 384,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,399.50 : 631,211.31 = 278,551.50 : x
  2. Step 2: Convert to fraction form
    457,399.50/631,211.31 = 278,551.50/x
  3. Step 3: Cross multiply
    457,399.50x = 631,211.31 × 278,551.50
  4. Step 4: Simplify right side
    457,399.50x = 175,824,857,217.47
  5. Step 5: Solve for x
    x = 175,824,857,217.47/457,399.50
  6. Step 6: Final answer
    x = 384,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.