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Finding the Fourth Proportional to 646,712.64, 969,736.32 and 347,445.36

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Solution

The fourth proportional to 646,712.64, 969,736.32 and 347,445.36 is: 520,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,712.64 : 969,736.32 = 347,445.36 : x
  2. Step 2: Convert to fraction form
    646,712.64/969,736.32 = 347,445.36/x
  3. Step 3: Cross multiply
    646,712.64x = 969,736.32 × 347,445.36
  4. Step 4: Simplify right side
    646,712.64x = 336,930,384,807.48
  5. Step 5: Solve for x
    x = 336,930,384,807.48/646,712.64
  6. Step 6: Final answer
    x = 520,989.33

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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.