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Finding the Fourth Proportional to 406,843.42, 561,477.18 and 225,612.20

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Solution

The fourth proportional to 406,843.42, 561,477.18 and 225,612.20 is: 311,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,843.42 : 561,477.18 = 225,612.20 : x
  2. Step 2: Convert to fraction form
    406,843.42/561,477.18 = 225,612.20/x
  3. Step 3: Cross multiply
    406,843.42x = 561,477.18 × 225,612.20
  4. Step 4: Simplify right side
    406,843.42x = 126,676,101,829.60
  5. Step 5: Solve for x
    x = 126,676,101,829.60/406,843.42
  6. Step 6: Final answer
    x = 311,363.28

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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.