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Finding the Fourth Proportional to 299,465.40, 413,297.58 and 172,146.36

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Solution

The fourth proportional to 299,465.40, 413,297.58 and 172,146.36 is: 237,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,465.40 : 413,297.58 = 172,146.36 : x
  2. Step 2: Convert to fraction form
    299,465.40/413,297.58 = 172,146.36/x
  3. Step 3: Cross multiply
    299,465.40x = 413,297.58 × 172,146.36
  4. Step 4: Simplify right side
    299,465.40x = 71,147,673,993.81
  5. Step 5: Solve for x
    x = 71,147,673,993.81/299,465.40
  6. Step 6: Final answer
    x = 237,582.28

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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.