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Finding the Fourth Proportional to 361,206.76, 498,470.60 and 208,242.32

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Solution

The fourth proportional to 361,206.76, 498,470.60 and 208,242.32 is: 287,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,206.76 : 498,470.60 = 208,242.32 : x
  2. Step 2: Convert to fraction form
    361,206.76/498,470.60 = 208,242.32/x
  3. Step 3: Cross multiply
    361,206.76x = 498,470.60 × 208,242.32
  4. Step 4: Simplify right side
    361,206.76x = 103,802,674,195.79
  5. Step 5: Solve for x
    x = 103,802,674,195.79/361,206.76
  6. Step 6: Final answer
    x = 287,377.44

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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.