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Finding the Fourth Proportional to 315,193.83, 434,958.90 and 171,953.85

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Solution

The fourth proportional to 315,193.83, 434,958.90 and 171,953.85 is: 237,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,193.83 : 434,958.90 = 171,953.85 : x
  2. Step 2: Convert to fraction form
    315,193.83/434,958.90 = 171,953.85/x
  3. Step 3: Cross multiply
    315,193.83x = 434,958.90 × 171,953.85
  4. Step 4: Simplify right side
    315,193.83x = 74,792,857,446.77
  5. Step 5: Solve for x
    x = 74,792,857,446.77/315,193.83
  6. Step 6: Final answer
    x = 237,291.63

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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.