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Finding the Fourth Proportional to 283,712.07, 391,520.05 and 154,650.51

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Solution

The fourth proportional to 283,712.07, 391,520.05 and 154,650.51 is: 213,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,712.07 : 391,520.05 = 154,650.51 : x
  2. Step 2: Convert to fraction form
    283,712.07/391,520.05 = 154,650.51/x
  3. Step 3: Cross multiply
    283,712.07x = 391,520.05 × 154,650.51
  4. Step 4: Simplify right side
    283,712.07x = 60,548,775,407.73
  5. Step 5: Solve for x
    x = 60,548,775,407.73/283,712.07
  6. Step 6: Final answer
    x = 213,416.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.