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Finding the Fourth Proportional to 428,907.83, 643,366.36 and 129,391.01

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Solution

The fourth proportional to 428,907.83, 643,366.36 and 129,391.01 is: 194,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907.83 : 643,366.36 = 129,391.01 : x
  2. Step 2: Convert to fraction form
    428,907.83/643,366.36 = 129,391.01/x
  3. Step 3: Cross multiply
    428,907.83x = 643,366.36 × 129,391.01
  4. Step 4: Simplify right side
    428,907.83x = 83,245,823,120.42
  5. Step 5: Solve for x
    x = 83,245,823,120.42/428,907.83
  6. Step 6: Final answer
    x = 194,087.91

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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.