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Finding the Fourth Proportional to 543,543.81, 815,411.22 and 206,613.91

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Solution

The fourth proportional to 543,543.81, 815,411.22 and 206,613.91 is: 309,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,543.81 : 815,411.22 = 206,613.91 : x
  2. Step 2: Convert to fraction form
    543,543.81/815,411.22 = 206,613.91/x
  3. Step 3: Cross multiply
    543,543.81x = 815,411.22 × 206,613.91
  4. Step 4: Simplify right side
    543,543.81x = 168,475,300,422.07
  5. Step 5: Solve for x
    x = 168,475,300,422.07/543,543.81
  6. Step 6: Final answer
    x = 309,957.17

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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.