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Finding the Fourth Proportional to 310,296, 428,208.48 and 168,984

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Solution

The fourth proportional to 310,296, 428,208.48 and 168,984 is: 233,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296 : 428,208.48 = 168,984 : x
  2. Step 2: Convert to fraction form
    310,296/428,208.48 = 168,984/x
  3. Step 3: Cross multiply
    310,296x = 428,208.48 × 168,984
  4. Step 4: Simplify right side
    310,296x = 72,360,381,784.32
  5. Step 5: Solve for x
    x = 72,360,381,784.32/310,296
  6. Step 6: Final answer
    x = 233,197.92

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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.