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Finding the Fourth Proportional to 345,880, 477,314.40 and 186,904

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Solution

The fourth proportional to 345,880, 477,314.40 and 186,904 is: 257,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,880 : 477,314.40 = 186,904 : x
  2. Step 2: Convert to fraction form
    345,880/477,314.40 = 186,904/x
  3. Step 3: Cross multiply
    345,880x = 477,314.40 × 186,904
  4. Step 4: Simplify right side
    345,880x = 89,211,970,617.60
  5. Step 5: Solve for x
    x = 89,211,970,617.60/345,880
  6. Step 6: Final answer
    x = 257,927.52

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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.