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Finding the Fourth Proportional to 407,041.79, 561,752.06 and 225,812.04

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Solution

The fourth proportional to 407,041.79, 561,752.06 and 225,812.04 is: 311,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,041.79 : 561,752.06 = 225,812.04 : x
  2. Step 2: Convert to fraction form
    407,041.79/561,752.06 = 225,812.04/x
  3. Step 3: Cross multiply
    407,041.79x = 561,752.06 × 225,812.04
  4. Step 4: Simplify right side
    407,041.79x = 126,850,377,513.74
  5. Step 5: Solve for x
    x = 126,850,377,513.74/407,041.79
  6. Step 6: Final answer
    x = 311,639.69

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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.