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Finding the Fourth Proportional to 428,463, 591,298.25 and 237,464.19

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Solution

The fourth proportional to 428,463, 591,298.25 and 237,464.19 is: 327,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,463 : 591,298.25 = 237,464.19 : x
  2. Step 2: Convert to fraction form
    428,463/591,298.25 = 237,464.19/x
  3. Step 3: Cross multiply
    428,463x = 591,298.25 × 237,464.19
  4. Step 4: Simplify right side
    428,463x = 140,412,158,797.35
  5. Step 5: Solve for x
    x = 140,412,158,797.35/428,463
  6. Step 6: Final answer
    x = 327,711.28

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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.