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Finding the Fourth Proportional to 407,190.09, 561,925.72 and 225,913.92

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Solution

The fourth proportional to 407,190.09, 561,925.72 and 225,913.92 is: 311,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,190.09 : 561,925.72 = 225,913.92 : x
  2. Step 2: Convert to fraction form
    407,190.09/561,925.72 = 225,913.92/x
  3. Step 3: Cross multiply
    407,190.09x = 561,925.72 × 225,913.92
  4. Step 4: Simplify right side
    407,190.09x = 126,946,842,154.02
  5. Step 5: Solve for x
    x = 126,946,842,154.02/407,190.09
  6. Step 6: Final answer
    x = 311,763.09

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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.