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Finding the Fourth Proportional to 457,389.10, 685,952.43 and 318,033.46

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Solution

The fourth proportional to 457,389.10, 685,952.43 and 318,033.46 is: 476,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,389.10 : 685,952.43 = 318,033.46 : x
  2. Step 2: Convert to fraction form
    457,389.10/685,952.43 = 318,033.46/x
  3. Step 3: Cross multiply
    457,389.10x = 685,952.43 × 318,033.46
  4. Step 4: Simplify right side
    457,389.10x = 218,155,824,708.31
  5. Step 5: Solve for x
    x = 218,155,824,708.31/457,389.10
  6. Step 6: Final answer
    x = 476,958.95

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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.