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Finding the Fourth Proportional to 617,730, 852,485.21 and 345,796.29

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Solution

The fourth proportional to 617,730, 852,485.21 and 345,796.29 is: 477,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,730 : 852,485.21 = 345,796.29 : x
  2. Step 2: Convert to fraction form
    617,730/852,485.21 = 345,796.29/x
  3. Step 3: Cross multiply
    617,730x = 852,485.21 × 345,796.29
  4. Step 4: Simplify right side
    617,730x = 294,786,221,168.89
  5. Step 5: Solve for x
    x = 294,786,221,168.89/617,730
  6. Step 6: Final answer
    x = 477,208.85

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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.