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Finding the Fourth Proportional to 310,817.61, 428,927.67 and 174,851.64

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Solution

The fourth proportional to 310,817.61, 428,927.67 and 174,851.64 is: 241,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,817.61 : 428,927.67 = 174,851.64 : x
  2. Step 2: Convert to fraction form
    310,817.61/428,927.67 = 174,851.64/x
  3. Step 3: Cross multiply
    310,817.61x = 428,927.67 × 174,851.64
  4. Step 4: Simplify right side
    310,817.61x = 74,998,706,540.88
  5. Step 5: Solve for x
    x = 74,998,706,540.88/310,817.61
  6. Step 6: Final answer
    x = 241,294.91

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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.