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Finding the Fourth Proportional to 406,971.04, 561,648.78 and 225,700.30

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Solution

The fourth proportional to 406,971.04, 561,648.78 and 225,700.30 is: 311,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,971.04 : 561,648.78 = 225,700.30 : x
  2. Step 2: Convert to fraction form
    406,971.04/561,648.78 = 225,700.30/x
  3. Step 3: Cross multiply
    406,971.04x = 561,648.78 × 225,700.30
  4. Step 4: Simplify right side
    406,971.04x = 126,764,298,140.63
  5. Step 5: Solve for x
    x = 126,764,298,140.63/406,971.04
  6. Step 6: Final answer
    x = 311,482.36

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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.