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Finding the Fourth Proportional to 315,021.55, 434,922.47 and 194,327.77

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Solution

The fourth proportional to 315,021.55, 434,922.47 and 194,327.77 is: 268,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021.55 : 434,922.47 = 194,327.77 : x
  2. Step 2: Convert to fraction form
    315,021.55/434,922.47 = 194,327.77/x
  3. Step 3: Cross multiply
    315,021.55x = 434,922.47 × 194,327.77
  4. Step 4: Simplify right side
    315,021.55x = 84,517,513,717.99
  5. Step 5: Solve for x
    x = 84,517,513,717.99/315,021.55
  6. Step 6: Final answer
    x = 268,291.21

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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.