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Finding the Fourth Proportional to 310,534.32, 428,564.88 and 183,185.28

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Solution

The fourth proportional to 310,534.32, 428,564.88 and 183,185.28 is: 252,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,534.32 : 428,564.88 = 183,185.28 : x
  2. Step 2: Convert to fraction form
    310,534.32/428,564.88 = 183,185.28/x
  3. Step 3: Cross multiply
    310,534.32x = 428,564.88 × 183,185.28
  4. Step 4: Simplify right side
    310,534.32x = 78,506,777,540.97
  5. Step 5: Solve for x
    x = 78,506,777,540.97/310,534.32
  6. Step 6: Final answer
    x = 252,811.92

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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.