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Finding the Fourth Proportional to 510,636.84, 765,422.80 and 285,667.44

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Solution

The fourth proportional to 510,636.84, 765,422.80 and 285,667.44 is: 428,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,636.84 : 765,422.80 = 285,667.44 : x
  2. Step 2: Convert to fraction form
    510,636.84/765,422.80 = 285,667.44/x
  3. Step 3: Cross multiply
    510,636.84x = 765,422.80 × 285,667.44
  4. Step 4: Simplify right side
    510,636.84x = 218,656,371,793.63
  5. Step 5: Solve for x
    x = 218,656,371,793.63/510,636.84
  6. Step 6: Final answer
    x = 428,203.28

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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.