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Finding the Fourth Proportional to 345,896, 477,336.48 and 186,920

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Solution

The fourth proportional to 345,896, 477,336.48 and 186,920 is: 257,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,896 : 477,336.48 = 186,920 : x
  2. Step 2: Convert to fraction form
    345,896/477,336.48 = 186,920/x
  3. Step 3: Cross multiply
    345,896x = 477,336.48 × 186,920
  4. Step 4: Simplify right side
    345,896x = 89,223,734,841.60
  5. Step 5: Solve for x
    x = 89,223,734,841.60/345,896
  6. Step 6: Final answer
    x = 257,949.60

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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.