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Finding the Fourth Proportional to 406,731.64, 561,323.24 and 225,500.44

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Solution

The fourth proportional to 406,731.64, 561,323.24 and 225,500.44 is: 311,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,731.64 : 561,323.24 = 225,500.44 : x
  2. Step 2: Convert to fraction form
    406,731.64/561,323.24 = 225,500.44/x
  3. Step 3: Cross multiply
    406,731.64x = 561,323.24 × 225,500.44
  4. Step 4: Simplify right side
    406,731.64x = 126,578,637,602.23
  5. Step 5: Solve for x
    x = 126,578,637,602.23/406,731.64
  6. Step 6: Final answer
    x = 311,209.22

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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.