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Finding the Fourth Proportional to 310,962.55, 429,090.13 and 196,197.90

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Solution

The fourth proportional to 310,962.55, 429,090.13 and 196,197.90 is: 270,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,962.55 : 429,090.13 = 196,197.90 : x
  2. Step 2: Convert to fraction form
    310,962.55/429,090.13 = 196,197.90/x
  3. Step 3: Cross multiply
    310,962.55x = 429,090.13 × 196,197.90
  4. Step 4: Simplify right side
    310,962.55x = 84,186,582,416.73
  5. Step 5: Solve for x
    x = 84,186,582,416.73/310,962.55
  6. Step 6: Final answer
    x = 270,729.01

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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.