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Finding the Fourth Proportional to 457,968.30, 686,952.45 and 280,821.30

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Solution

The fourth proportional to 457,968.30, 686,952.45 and 280,821.30 is: 421,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,968.30 : 686,952.45 = 280,821.30 : x
  2. Step 2: Convert to fraction form
    457,968.30/686,952.45 = 280,821.30/x
  3. Step 3: Cross multiply
    457,968.30x = 686,952.45 × 280,821.30
  4. Step 4: Simplify right side
    457,968.30x = 192,910,880,047.19
  5. Step 5: Solve for x
    x = 192,910,880,047.19/457,968.30
  6. Step 6: Final answer
    x = 421,231.95

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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.