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Finding the Fourth Proportional to 428,903.69, 643,360.19 and 129,386.88

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Solution

The fourth proportional to 428,903.69, 643,360.19 and 129,386.88 is: 194,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,903.69 : 643,360.19 = 129,386.88 : x
  2. Step 2: Convert to fraction form
    428,903.69/643,360.19 = 129,386.88/x
  3. Step 3: Cross multiply
    428,903.69x = 643,360.19 × 129,386.88
  4. Step 4: Simplify right side
    428,903.69x = 83,242,367,053.37
  5. Step 5: Solve for x
    x = 83,242,367,053.37/428,903.69
  6. Step 6: Final answer
    x = 194,081.73

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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.