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Finding the Fourth Proportional to 299,316.30, 413,022.60 and 172,032.90

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Solution

The fourth proportional to 299,316.30, 413,022.60 and 172,032.90 is: 237,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.30 : 413,022.60 = 172,032.90 : x
  2. Step 2: Convert to fraction form
    299,316.30/413,022.60 = 172,032.90/x
  3. Step 3: Cross multiply
    299,316.30x = 413,022.60 × 172,032.90
  4. Step 4: Simplify right side
    299,316.30x = 71,053,475,643.54
  5. Step 5: Solve for x
    x = 71,053,475,643.54/299,316.30
  6. Step 6: Final answer
    x = 237,385.92

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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.