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Finding the Fourth Proportional to 617,333.76, 851,924.43 and 345,401.64

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Solution

The fourth proportional to 617,333.76, 851,924.43 and 345,401.64 is: 476,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,333.76 : 851,924.43 = 345,401.64 : x
  2. Step 2: Convert to fraction form
    617,333.76/851,924.43 = 345,401.64/x
  3. Step 3: Cross multiply
    617,333.76x = 851,924.43 × 345,401.64
  4. Step 4: Simplify right side
    617,333.76x = 294,256,095,278.07
  5. Step 5: Solve for x
    x = 294,256,095,278.07/617,333.76
  6. Step 6: Final answer
    x = 476,656.41

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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.