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Finding the Fourth Proportional to 299,356.60, 413,183.06 and 172,106.12

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Solution

The fourth proportional to 299,356.60, 413,183.06 and 172,106.12 is: 237,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,356.60 : 413,183.06 = 172,106.12 : x
  2. Step 2: Convert to fraction form
    299,356.60/413,183.06 = 172,106.12/x
  3. Step 3: Cross multiply
    299,356.60x = 413,183.06 × 172,106.12
  4. Step 4: Simplify right side
    299,356.60x = 71,111,333,306.33
  5. Step 5: Solve for x
    x = 71,111,333,306.33/299,356.60
  6. Step 6: Final answer
    x = 237,547.24

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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.