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Finding the Fourth Proportional to 428,908.83, 643,367.86 and 129,392.01

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Solution

The fourth proportional to 428,908.83, 643,367.86 and 129,392.01 is: 194,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,908.83 : 643,367.86 = 129,392.01 : x
  2. Step 2: Convert to fraction form
    428,908.83/643,367.86 = 129,392.01/x
  3. Step 3: Cross multiply
    428,908.83x = 643,367.86 × 129,392.01
  4. Step 4: Simplify right side
    428,908.83x = 83,246,660,574.80
  5. Step 5: Solve for x
    x = 83,246,660,574.80/428,908.83
  6. Step 6: Final answer
    x = 194,089.41

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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.