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Finding the Fourth Proportional to 302,978.35, 417,956.25 and 231,233.86

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Solution

The fourth proportional to 302,978.35, 417,956.25 and 231,233.86 is: 318,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,978.35 : 417,956.25 = 231,233.86 : x
  2. Step 2: Convert to fraction form
    302,978.35/417,956.25 = 231,233.86/x
  3. Step 3: Cross multiply
    302,978.35x = 417,956.25 × 231,233.86
  4. Step 4: Simplify right side
    302,978.35x = 96,645,636,998.63
  5. Step 5: Solve for x
    x = 96,645,636,998.63/302,978.35
  6. Step 6: Final answer
    x = 318,985.29

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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.