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Finding the Fourth Proportional to 405,176.76, 608,146.49 and 205,640.35

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Solution

The fourth proportional to 405,176.76, 608,146.49 and 205,640.35 is: 308,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,176.76 : 608,146.49 = 205,640.35 : x
  2. Step 2: Convert to fraction form
    405,176.76/608,146.49 = 205,640.35/x
  3. Step 3: Cross multiply
    405,176.76x = 608,146.49 × 205,640.35
  4. Step 4: Simplify right side
    405,176.76x = 125,059,456,048.61
  5. Step 5: Solve for x
    x = 125,059,456,048.61/405,176.76
  6. Step 6: Final answer
    x = 308,654.07

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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.