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Finding the Fourth Proportional to 310,685.91, 428,742.48 and 174,719.81

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Solution

The fourth proportional to 310,685.91, 428,742.48 and 174,719.81 is: 241,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,685.91 : 428,742.48 = 174,719.81 : x
  2. Step 2: Convert to fraction form
    310,685.91/428,742.48 = 174,719.81/x
  3. Step 3: Cross multiply
    310,685.91x = 428,742.48 × 174,719.81
  4. Step 4: Simplify right side
    310,685.91x = 74,909,805,716.39
  5. Step 5: Solve for x
    x = 74,909,805,716.39/310,685.91
  6. Step 6: Final answer
    x = 241,111.05

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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.