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Finding the Fourth Proportional to 617,731.82, 852,470.26 and 345,800.24

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Solution

The fourth proportional to 617,731.82, 852,470.26 and 345,800.24 is: 477,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,731.82 : 852,470.26 = 345,800.24 : x
  2. Step 2: Convert to fraction form
    617,731.82/852,470.26 = 345,800.24/x
  3. Step 3: Cross multiply
    617,731.82x = 852,470.26 × 345,800.24
  4. Step 4: Simplify right side
    617,731.82x = 294,784,418,570.77
  5. Step 5: Solve for x
    x = 294,784,418,570.77/617,731.82
  6. Step 6: Final answer
    x = 477,204.52

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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.