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Finding the Fourth Proportional to 315,703.85, 435,665.82 and 172,460.21

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Solution

The fourth proportional to 315,703.85, 435,665.82 and 172,460.21 is: 237,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,703.85 : 435,665.82 = 172,460.21 : x
  2. Step 2: Convert to fraction form
    315,703.85/435,665.82 = 172,460.21/x
  3. Step 3: Cross multiply
    315,703.85x = 435,665.82 × 172,460.21
  4. Step 4: Simplify right side
    315,703.85x = 75,135,018,807.02
  5. Step 5: Solve for x
    x = 75,135,018,807.02/315,703.85
  6. Step 6: Final answer
    x = 237,992.09

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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.