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Finding the Fourth Proportional to 402,584.81, 603,879.79 and 118,274.20

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Solution

The fourth proportional to 402,584.81, 603,879.79 and 118,274.20 is: 177,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,584.81 : 603,879.79 = 118,274.20 : x
  2. Step 2: Convert to fraction form
    402,584.81/603,879.79 = 118,274.20/x
  3. Step 3: Cross multiply
    402,584.81x = 603,879.79 × 118,274.20
  4. Step 4: Simplify right side
    402,584.81x = 71,423,399,058.42
  5. Step 5: Solve for x
    x = 71,423,399,058.42/402,584.81
  6. Step 6: Final answer
    x = 177,412.06

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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.