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Finding the Fourth Proportional to 315,682.83, 435,635.14 and 172,443.51

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Solution

The fourth proportional to 315,682.83, 435,635.14 and 172,443.51 is: 237,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,682.83 : 435,635.14 = 172,443.51 : x
  2. Step 2: Convert to fraction form
    315,682.83/435,635.14 = 172,443.51/x
  3. Step 3: Cross multiply
    315,682.83x = 435,635.14 × 172,443.51
  4. Step 4: Simplify right side
    315,682.83x = 75,122,452,620.94
  5. Step 5: Solve for x
    x = 75,122,452,620.94/315,682.83
  6. Step 6: Final answer
    x = 237,968.13

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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.