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Finding the Fourth Proportional to 451,654.20, 676,703.70 and 381,670.20

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Solution

The fourth proportional to 451,654.20, 676,703.70 and 381,670.20 is: 571,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,654.20 : 676,703.70 = 381,670.20 : x
  2. Step 2: Convert to fraction form
    451,654.20/676,703.70 = 381,670.20/x
  3. Step 3: Cross multiply
    451,654.20x = 676,703.70 × 381,670.20
  4. Step 4: Simplify right side
    451,654.20x = 258,277,636,519.74
  5. Step 5: Solve for x
    x = 258,277,636,519.74/451,654.20
  6. Step 6: Final answer
    x = 571,848.19

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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.