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Finding the Fourth Proportional to 310,684.85, 428,741.01 and 174,718.76

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Solution

The fourth proportional to 310,684.85, 428,741.01 and 174,718.76 is: 241,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,684.85 : 428,741.01 = 174,718.76 : x
  2. Step 2: Convert to fraction form
    310,684.85/428,741.01 = 174,718.76/x
  3. Step 3: Cross multiply
    310,684.85x = 428,741.01 × 174,718.76
  4. Step 4: Simplify right side
    310,684.85x = 74,909,097,628.35
  5. Step 5: Solve for x
    x = 74,909,097,628.35/310,684.85
  6. Step 6: Final answer
    x = 241,109.59

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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.