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Finding the Fourth Proportional to 406,991.10, 561,000.42 and 320,810.34

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Solution

The fourth proportional to 406,991.10, 561,000.42 and 320,810.34 is: 442,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,991.10 : 561,000.42 = 320,810.34 : x
  2. Step 2: Convert to fraction form
    406,991.10/561,000.42 = 320,810.34/x
  3. Step 3: Cross multiply
    406,991.10x = 561,000.42 × 320,810.34
  4. Step 4: Simplify right side
    406,991.10x = 179,974,735,480.34
  5. Step 5: Solve for x
    x = 179,974,735,480.34/406,991.10
  6. Step 6: Final answer
    x = 442,208.04

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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.