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Finding the Fourth Proportional to 476,760.75, 657,654.75 and 285,663.40

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Solution

The fourth proportional to 476,760.75, 657,654.75 and 285,663.40 is: 394,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,760.75 : 657,654.75 = 285,663.40 : x
  2. Step 2: Convert to fraction form
    476,760.75/657,654.75 = 285,663.40/x
  3. Step 3: Cross multiply
    476,760.75x = 657,654.75 × 285,663.40
  4. Step 4: Simplify right side
    476,760.75x = 187,867,891,911.15
  5. Step 5: Solve for x
    x = 187,867,891,911.15/476,760.75
  6. Step 6: Final answer
    x = 394,050.67

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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.