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Finding the Fourth Proportional to 543,830, 750,469.12 and 298,814.32

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Solution

The fourth proportional to 543,830, 750,469.12 and 298,814.32 is: 412,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,830 : 750,469.12 = 298,814.32 : x
  2. Step 2: Convert to fraction form
    543,830/750,469.12 = 298,814.32/x
  3. Step 3: Cross multiply
    543,830x = 750,469.12 × 298,814.32
  4. Step 4: Simplify right side
    543,830x = 224,250,919,773.80
  5. Step 5: Solve for x
    x = 224,250,919,773.80/543,830
  6. Step 6: Final answer
    x = 412,354.82

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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.