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Finding the Fourth Proportional to 428,775.93, 591,900.71 and 300,219.75

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Solution

The fourth proportional to 428,775.93, 591,900.71 and 300,219.75 is: 414,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,775.93 : 591,900.71 = 300,219.75 : x
  2. Step 2: Convert to fraction form
    428,775.93/591,900.71 = 300,219.75/x
  3. Step 3: Cross multiply
    428,775.93x = 591,900.71 × 300,219.75
  4. Step 4: Simplify right side
    428,775.93x = 177,700,281,679.92
  5. Step 5: Solve for x
    x = 177,700,281,679.92/428,775.93
  6. Step 6: Final answer
    x = 414,436.23

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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.