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Finding the Fourth Proportional to 312,796.46, 431,380.40 and 243,903

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Solution

The fourth proportional to 312,796.46, 431,380.40 and 243,903 is: 336,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,796.46 : 431,380.40 = 243,903 : x
  2. Step 2: Convert to fraction form
    312,796.46/431,380.40 = 243,903/x
  3. Step 3: Cross multiply
    312,796.46x = 431,380.40 × 243,903
  4. Step 4: Simplify right side
    312,796.46x = 105,214,973,701.20
  5. Step 5: Solve for x
    x = 105,214,973,701.20/312,796.46
  6. Step 6: Final answer
    x = 336,368.81

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1.5x scale

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.