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Finding the Fourth Proportional to 408,068.16, 562,540.55 and 285,179

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Solution

The fourth proportional to 408,068.16, 562,540.55 and 285,179 is: 393,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,068.16 : 562,540.55 = 285,179 : x
  2. Step 2: Convert to fraction form
    408,068.16/562,540.55 = 285,179/x
  3. Step 3: Cross multiply
    408,068.16x = 562,540.55 × 285,179
  4. Step 4: Simplify right side
    408,068.16x = 160,424,751,508.45
  5. Step 5: Solve for x
    x = 160,424,751,508.45/408,068.16
  6. Step 6: Final answer
    x = 393,132.24

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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.