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Finding the Fourth Proportional to 510,782.68, 704,255.52 and 319,463.92

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Solution

The fourth proportional to 510,782.68, 704,255.52 and 319,463.92 is: 440,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,782.68 : 704,255.52 = 319,463.92 : x
  2. Step 2: Convert to fraction form
    510,782.68/704,255.52 = 319,463.92/x
  3. Step 3: Cross multiply
    510,782.68x = 704,255.52 × 319,463.92
  4. Step 4: Simplify right side
    510,782.68x = 224,984,229,100.84
  5. Step 5: Solve for x
    x = 224,984,229,100.84/510,782.68
  6. Step 6: Final answer
    x = 440,469.57

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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.