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Finding the Fourth Proportional to 457,431.69, 686,153.00 and 217,571.10

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Solution

The fourth proportional to 457,431.69, 686,153.00 and 217,571.10 is: 326,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,431.69 : 686,153.00 = 217,571.10 : x
  2. Step 2: Convert to fraction form
    457,431.69/686,153.00 = 217,571.10/x
  3. Step 3: Cross multiply
    457,431.69x = 686,153.00 × 217,571.10
  4. Step 4: Simplify right side
    457,431.69x = 149,287,061,890.45
  5. Step 5: Solve for x
    x = 149,287,061,890.45/457,431.69
  6. Step 6: Final answer
    x = 326,359.25

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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.