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Finding the Fourth Proportional to 314,550, 434,096.28 and 180,422.64

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Solution

The fourth proportional to 314,550, 434,096.28 and 180,422.64 is: 248,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,550 : 434,096.28 = 180,422.64 : x
  2. Step 2: Convert to fraction form
    314,550/434,096.28 = 180,422.64/x
  3. Step 3: Cross multiply
    314,550x = 434,096.28 × 180,422.64
  4. Step 4: Simplify right side
    314,550x = 78,320,796,851.78
  5. Step 5: Solve for x
    x = 78,320,796,851.78/314,550
  6. Step 6: Final answer
    x = 248,993.15

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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.