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Finding the Fourth Proportional to 407,156.88, 561,877.92 and 225,872.40

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Solution

The fourth proportional to 407,156.88, 561,877.92 and 225,872.40 is: 311,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,156.88 : 561,877.92 = 225,872.40 : x
  2. Step 2: Convert to fraction form
    407,156.88/561,877.92 = 225,872.40/x
  3. Step 3: Cross multiply
    407,156.88x = 561,877.92 × 225,872.40
  4. Step 4: Simplify right side
    407,156.88x = 126,912,714,297.41
  5. Step 5: Solve for x
    x = 126,912,714,297.41/407,156.88
  6. Step 6: Final answer
    x = 311,704.70

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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.