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Finding the Fourth Proportional to 299,464.40, 413,340.36 and 172,154

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Solution

The fourth proportional to 299,464.40, 413,340.36 and 172,154 is: 237,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,464.40 : 413,340.36 = 172,154 : x
  2. Step 2: Convert to fraction form
    299,464.40/413,340.36 = 172,154/x
  3. Step 3: Cross multiply
    299,464.40x = 413,340.36 × 172,154
  4. Step 4: Simplify right side
    299,464.40x = 71,158,196,335.44
  5. Step 5: Solve for x
    x = 71,158,196,335.44/299,464.40
  6. Step 6: Final answer
    x = 237,618.22

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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.