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Finding the Fourth Proportional to 543,377.12, 814,005.39 and 355,820

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Solution

The fourth proportional to 543,377.12, 814,005.39 and 355,820 is: 533,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,377.12 : 814,005.39 = 355,820 : x
  2. Step 2: Convert to fraction form
    543,377.12/814,005.39 = 355,820/x
  3. Step 3: Cross multiply
    543,377.12x = 814,005.39 × 355,820
  4. Step 4: Simplify right side
    543,377.12x = 289,639,397,869.80
  5. Step 5: Solve for x
    x = 289,639,397,869.80/543,377.12
  6. Step 6: Final answer
    x = 533,035.69

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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.