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Finding the Fourth Proportional to 646,296, 891,957.60 and 378,248.64

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Solution

The fourth proportional to 646,296, 891,957.60 and 378,248.64 is: 522,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,296 : 891,957.60 = 378,248.64 : x
  2. Step 2: Convert to fraction form
    646,296/891,957.60 = 378,248.64/x
  3. Step 3: Cross multiply
    646,296x = 891,957.60 × 378,248.64
  4. Step 4: Simplify right side
    646,296x = 337,381,749,137.66
  5. Step 5: Solve for x
    x = 337,381,749,137.66/646,296
  6. Step 6: Final answer
    x = 522,023.58

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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.