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Finding the Fourth Proportional to 407,151.40, 561,868.44 and 225,890.80

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Solution

The fourth proportional to 407,151.40, 561,868.44 and 225,890.80 is: 311,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,151.40 : 561,868.44 = 225,890.80 : x
  2. Step 2: Convert to fraction form
    407,151.40/561,868.44 = 225,890.80/x
  3. Step 3: Cross multiply
    407,151.40x = 561,868.44 × 225,890.80
  4. Step 4: Simplify right side
    407,151.40x = 126,920,911,406.35
  5. Step 5: Solve for x
    x = 126,920,911,406.35/407,151.40
  6. Step 6: Final answer
    x = 311,729.03

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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.