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Finding the Fourth Proportional to 510,378, 704,321.64 and 284,023.68

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Solution

The fourth proportional to 510,378, 704,321.64 and 284,023.68 is: 391,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,378 : 704,321.64 = 284,023.68 : x
  2. Step 2: Convert to fraction form
    510,378/704,321.64 = 284,023.68/x
  3. Step 3: Cross multiply
    510,378x = 704,321.64 × 284,023.68
  4. Step 4: Simplify right side
    510,378x = 200,044,024,096.44
  5. Step 5: Solve for x
    x = 200,044,024,096.44/510,378
  6. Step 6: Final answer
    x = 391,952.68

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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.