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Finding the Fourth Proportional to 405,747.40, 608,102.70 and 294,809.80

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Solution

The fourth proportional to 405,747.40, 608,102.70 and 294,809.80 is: 441,838.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,747.40 : 608,102.70 = 294,809.80 : x
  2. Step 2: Convert to fraction form
    405,747.40/608,102.70 = 294,809.80/x
  3. Step 3: Cross multiply
    405,747.40x = 608,102.70 × 294,809.80
  4. Step 4: Simplify right side
    405,747.40x = 179,274,635,366.46
  5. Step 5: Solve for x
    x = 179,274,635,366.46/405,747.40
  6. Step 6: Final answer
    x = 441,838.04

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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.