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Finding the Fourth Proportional to 631,956.80, 948,064.80 and 211,534.40

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Solution

The fourth proportional to 631,956.80, 948,064.80 and 211,534.40 is: 317,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,956.80 : 948,064.80 = 211,534.40 : x
  2. Step 2: Convert to fraction form
    631,956.80/948,064.80 = 211,534.40/x
  3. Step 3: Cross multiply
    631,956.80x = 948,064.80 × 211,534.40
  4. Step 4: Simplify right side
    631,956.80x = 200,548,318,629.12
  5. Step 5: Solve for x
    x = 200,548,318,629.12/631,956.80
  6. Step 6: Final answer
    x = 317,344.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.