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Finding the Fourth Proportional to 320,542.70, 442,209.93 and 193,145.90

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Solution

The fourth proportional to 320,542.70, 442,209.93 and 193,145.90 is: 266,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,542.70 : 442,209.93 = 193,145.90 : x
  2. Step 2: Convert to fraction form
    320,542.70/442,209.93 = 193,145.90/x
  3. Step 3: Cross multiply
    320,542.70x = 442,209.93 × 193,145.90
  4. Step 4: Simplify right side
    320,542.70x = 85,411,034,918.79
  5. Step 5: Solve for x
    x = 85,411,034,918.79/320,542.70
  6. Step 6: Final answer
    x = 266,457.59

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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.