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Finding the Fourth Proportional to 411,191.82, 567,272.76 and 320,390.12

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Solution

The fourth proportional to 411,191.82, 567,272.76 and 320,390.12 is: 442,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,191.82 : 567,272.76 = 320,390.12 : x
  2. Step 2: Convert to fraction form
    411,191.82/567,272.76 = 320,390.12/x
  3. Step 3: Cross multiply
    411,191.82x = 567,272.76 × 320,390.12
  4. Step 4: Simplify right side
    411,191.82x = 181,748,584,812.77
  5. Step 5: Solve for x
    x = 181,748,584,812.77/411,191.82
  6. Step 6: Final answer
    x = 442,004.38

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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.