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Finding the Fourth Proportional to 389,659.26, 584,381.64 and 133,488.06

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Solution

The fourth proportional to 389,659.26, 584,381.64 and 133,488.06 is: 200,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,659.26 : 584,381.64 = 133,488.06 : x
  2. Step 2: Convert to fraction form
    389,659.26/584,381.64 = 133,488.06/x
  3. Step 3: Cross multiply
    389,659.26x = 584,381.64 × 133,488.06
  4. Step 4: Simplify right side
    389,659.26x = 78,007,971,423.22
  5. Step 5: Solve for x
    x = 78,007,971,423.22/389,659.26
  6. Step 6: Final answer
    x = 200,195.35

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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.