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Finding the Fourth Proportional to 310,200.89, 428,051.64 and 172,383.88

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Solution

The fourth proportional to 310,200.89, 428,051.64 and 172,383.88 is: 237,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200.89 : 428,051.64 = 172,383.88 : x
  2. Step 2: Convert to fraction form
    310,200.89/428,051.64 = 172,383.88/x
  3. Step 3: Cross multiply
    310,200.89x = 428,051.64 × 172,383.88
  4. Step 4: Simplify right side
    310,200.89x = 73,789,199,541.39
  5. Step 5: Solve for x
    x = 73,789,199,541.39/310,200.89
  6. Step 6: Final answer
    x = 237,875.53

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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.