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Finding the Fourth Proportional to 323,705.86, 446,705.28 and 187,731.16

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Solution

The fourth proportional to 323,705.86, 446,705.28 and 187,731.16 is: 259,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,705.86 : 446,705.28 = 187,731.16 : x
  2. Step 2: Convert to fraction form
    323,705.86/446,705.28 = 187,731.16/x
  3. Step 3: Cross multiply
    323,705.86x = 446,705.28 × 187,731.16
  4. Step 4: Simplify right side
    323,705.86x = 83,860,500,392.52
  5. Step 5: Solve for x
    x = 83,860,500,392.52/323,705.86
  6. Step 6: Final answer
    x = 259,063.89

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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.