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Finding the Fourth Proportional to 407,012.81, 561,712.17 and 225,783.12

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Solution

The fourth proportional to 407,012.81, 561,712.17 and 225,783.12 is: 311,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,012.81 : 561,712.17 = 225,783.12 : x
  2. Step 2: Convert to fraction form
    407,012.81/561,712.17 = 225,783.12/x
  3. Step 3: Cross multiply
    407,012.81x = 561,712.17 × 225,783.12
  4. Step 4: Simplify right side
    407,012.81x = 126,825,126,284.57
  5. Step 5: Solve for x
    x = 126,825,126,284.57/407,012.81
  6. Step 6: Final answer
    x = 311,599.84

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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.