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Finding the Fourth Proportional to 453,206.49, 680,109.21 and 213,388.98

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Solution

The fourth proportional to 453,206.49, 680,109.21 and 213,388.98 is: 320,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,206.49 : 680,109.21 = 213,388.98 : x
  2. Step 2: Convert to fraction form
    453,206.49/680,109.21 = 213,388.98/x
  3. Step 3: Cross multiply
    453,206.49x = 680,109.21 × 213,388.98
  4. Step 4: Simplify right side
    453,206.49x = 145,127,810,610.51
  5. Step 5: Solve for x
    x = 145,127,810,610.51/453,206.49
  6. Step 6: Final answer
    x = 320,224.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.