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Finding the Fourth Proportional to 314,660.64, 434,229.54 and 171,420.78

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Solution

The fourth proportional to 314,660.64, 434,229.54 and 171,420.78 is: 236,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,660.64 : 434,229.54 = 171,420.78 : x
  2. Step 2: Convert to fraction form
    314,660.64/434,229.54 = 171,420.78/x
  3. Step 3: Cross multiply
    314,660.64x = 434,229.54 × 171,420.78
  4. Step 4: Simplify right side
    314,660.64x = 74,435,966,445.84
  5. Step 5: Solve for x
    x = 74,435,966,445.84/314,660.64
  6. Step 6: Final answer
    x = 236,559.51

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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.