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Finding the Fourth Proportional to 299,616, 413,470.08 and 165,488.64

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Solution

The fourth proportional to 299,616, 413,470.08 and 165,488.64 is: 228,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,616 : 413,470.08 = 165,488.64 : x
  2. Step 2: Convert to fraction form
    299,616/413,470.08 = 165,488.64/x
  3. Step 3: Cross multiply
    299,616x = 413,470.08 × 165,488.64
  4. Step 4: Simplify right side
    299,616x = 68,424,601,219.89
  5. Step 5: Solve for x
    x = 68,424,601,219.89/299,616
  6. Step 6: Final answer
    x = 228,374.32

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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.