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Finding the Fourth Proportional to 406,897.54, 561,496.10 and 225,598.88

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Solution

The fourth proportional to 406,897.54, 561,496.10 and 225,598.88 is: 311,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,897.54 : 561,496.10 = 225,598.88 : x
  2. Step 2: Convert to fraction form
    406,897.54/561,496.10 = 225,598.88/x
  3. Step 3: Cross multiply
    406,897.54x = 561,496.10 × 225,598.88
  4. Step 4: Simplify right side
    406,897.54x = 126,672,891,284.37
  5. Step 5: Solve for x
    x = 126,672,891,284.37/406,897.54
  6. Step 6: Final answer
    x = 311,313.98

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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.