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Finding the Fourth Proportional to 389,518.43, 584,342.21 and 136,733.33

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Solution

The fourth proportional to 389,518.43, 584,342.21 and 136,733.33 is: 205,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,518.43 : 584,342.21 = 136,733.33 : x
  2. Step 2: Convert to fraction form
    389,518.43/584,342.21 = 136,733.33/x
  3. Step 3: Cross multiply
    389,518.43x = 584,342.21 × 136,733.33
  4. Step 4: Simplify right side
    389,518.43x = 79,899,055,549.19
  5. Step 5: Solve for x
    x = 79,899,055,549.19/389,518.43
  6. Step 6: Final answer
    x = 205,122.66

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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.