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Finding the Fourth Proportional to 407,000.62, 561,661.02 and 225,714.70

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Solution

The fourth proportional to 407,000.62, 561,661.02 and 225,714.70 is: 311,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,000.62 : 561,661.02 = 225,714.70 : x
  2. Step 2: Convert to fraction form
    407,000.62/561,661.02 = 225,714.70/x
  3. Step 3: Cross multiply
    407,000.62x = 561,661.02 × 225,714.70
  4. Step 4: Simplify right side
    407,000.62x = 126,775,148,630.99
  5. Step 5: Solve for x
    x = 126,775,148,630.99/407,000.62
  6. Step 6: Final answer
    x = 311,486.38

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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.