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Finding the Fourth Proportional to 378,021.40, 529,929.80 and 378,021.40

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Solution

The fourth proportional to 378,021.40, 529,929.80 and 378,021.40 is: 529,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,021.40 : 529,929.80 = 378,021.40 : x
  2. Step 2: Convert to fraction form
    378,021.40/529,929.80 = 378,021.40/x
  3. Step 3: Cross multiply
    378,021.40x = 529,929.80 × 378,021.40
  4. Step 4: Simplify right side
    378,021.40x = 200,324,804,897.72
  5. Step 5: Solve for x
    x = 200,324,804,897.72/378,021.40
  6. Step 6: Final answer
    x = 529,929.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.