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Finding the Fourth Proportional to 310,353.30, 428,255.82 and 174,365.64

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Solution

The fourth proportional to 310,353.30, 428,255.82 and 174,365.64 is: 240,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,353.30 : 428,255.82 = 174,365.64 : x
  2. Step 2: Convert to fraction form
    310,353.30/428,255.82 = 174,365.64/x
  3. Step 3: Cross multiply
    310,353.30x = 428,255.82 × 174,365.64
  4. Step 4: Simplify right side
    310,353.30x = 74,673,100,138.02
  5. Step 5: Solve for x
    x = 74,673,100,138.02/310,353.30
  6. Step 6: Final answer
    x = 240,606.75

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1.5x scale

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.