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Finding the Fourth Proportional to 406,992.10, 561,001.80 and 320,811.34

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Solution

The fourth proportional to 406,992.10, 561,001.80 and 320,811.34 is: 442,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,992.10 : 561,001.80 = 320,811.34 : x
  2. Step 2: Convert to fraction form
    406,992.10/561,001.80 = 320,811.34/x
  3. Step 3: Cross multiply
    406,992.10x = 561,001.80 × 320,811.34
  4. Step 4: Simplify right side
    406,992.10x = 179,975,739,200.41
  5. Step 5: Solve for x
    x = 179,975,739,200.41/406,992.10
  6. Step 6: Final answer
    x = 442,209.42

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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.