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Finding the Fourth Proportional to 495,430.40, 743,059.20 and 179,724.80

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Solution

The fourth proportional to 495,430.40, 743,059.20 and 179,724.80 is: 269,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,430.40 : 743,059.20 = 179,724.80 : x
  2. Step 2: Convert to fraction form
    495,430.40/743,059.20 = 179,724.80/x
  3. Step 3: Cross multiply
    495,430.40x = 743,059.20 × 179,724.80
  4. Step 4: Simplify right side
    495,430.40x = 133,546,166,108.16
  5. Step 5: Solve for x
    x = 133,546,166,108.16/495,430.40
  6. Step 6: Final answer
    x = 269,555.86

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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.