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Finding the Fourth Proportional to 406,904.78, 561,525.87 and 225,616.82

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Solution

The fourth proportional to 406,904.78, 561,525.87 and 225,616.82 is: 311,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,904.78 : 561,525.87 = 225,616.82 : x
  2. Step 2: Convert to fraction form
    406,904.78/561,525.87 = 225,616.82/x
  3. Step 3: Cross multiply
    406,904.78x = 561,525.87 × 225,616.82
  4. Step 4: Simplify right side
    406,904.78x = 126,689,681,137.13
  5. Step 5: Solve for x
    x = 126,689,681,137.13/406,904.78
  6. Step 6: Final answer
    x = 311,349.70

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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.