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Finding the Fourth Proportional to 310,685.28, 428,741.60 and 174,719.20

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Solution

The fourth proportional to 310,685.28, 428,741.60 and 174,719.20 is: 241,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,685.28 : 428,741.60 = 174,719.20 : x
  2. Step 2: Convert to fraction form
    310,685.28/428,741.60 = 174,719.20/x
  3. Step 3: Cross multiply
    310,685.28x = 428,741.60 × 174,719.20
  4. Step 4: Simplify right side
    310,685.28x = 74,909,389,358.72
  5. Step 5: Solve for x
    x = 74,909,389,358.72/310,685.28
  6. Step 6: Final answer
    x = 241,110.20

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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.