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Finding the Fourth Proportional to 428,909.83, 643,369.36 and 129,393.01

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Solution

The fourth proportional to 428,909.83, 643,369.36 and 129,393.01 is: 194,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,909.83 : 643,369.36 = 129,393.01 : x
  2. Step 2: Convert to fraction form
    428,909.83/643,369.36 = 129,393.01/x
  3. Step 3: Cross multiply
    428,909.83x = 643,369.36 × 129,393.01
  4. Step 4: Simplify right side
    428,909.83x = 83,247,498,032.17
  5. Step 5: Solve for x
    x = 83,247,498,032.17/428,909.83
  6. Step 6: Final answer
    x = 194,090.91

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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.