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Finding the Fourth Proportional to 428,206.40, 590,961.12 and 237,279.68

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Solution

The fourth proportional to 428,206.40, 590,961.12 and 237,279.68 is: 327,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,206.40 : 590,961.12 = 237,279.68 : x
  2. Step 2: Convert to fraction form
    428,206.40/590,961.12 = 237,279.68/x
  3. Step 3: Cross multiply
    428,206.40x = 590,961.12 × 237,279.68
  4. Step 4: Simplify right side
    428,206.40x = 140,223,065,446.04
  5. Step 5: Solve for x
    x = 140,223,065,446.04/428,206.40
  6. Step 6: Final answer
    x = 327,466.07

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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.