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Finding the Fourth Proportional to 406,843.48, 561,477.12 and 225,612.16

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Solution

The fourth proportional to 406,843.48, 561,477.12 and 225,612.16 is: 311,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,843.48 : 561,477.12 = 225,612.16 : x
  2. Step 2: Convert to fraction form
    406,843.48/561,477.12 = 225,612.16/x
  3. Step 3: Cross multiply
    406,843.48x = 561,477.12 × 225,612.16
  4. Step 4: Simplify right side
    406,843.48x = 126,676,065,833.78
  5. Step 5: Solve for x
    x = 126,676,065,833.78/406,843.48
  6. Step 6: Final answer
    x = 311,363.15

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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.