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Finding the Fourth Proportional to 299,730, 413,639.28 and 172,405.44

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Solution

The fourth proportional to 299,730, 413,639.28 and 172,405.44 is: 237,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730 : 413,639.28 = 172,405.44 : x
  2. Step 2: Convert to fraction form
    299,730/413,639.28 = 172,405.44/x
  3. Step 3: Cross multiply
    299,730x = 413,639.28 × 172,405.44
  4. Step 4: Simplify right side
    299,730x = 71,313,662,069.68
  5. Step 5: Solve for x
    x = 71,313,662,069.68/299,730
  6. Step 6: Final answer
    x = 237,926.34

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1.5x scale

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.