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Finding the Fourth Proportional to 510,356.12, 765,816.06 and 210,767

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Solution

The fourth proportional to 510,356.12, 765,816.06 and 210,767 is: 316,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,356.12 : 765,816.06 = 210,767 : x
  2. Step 2: Convert to fraction form
    510,356.12/765,816.06 = 210,767/x
  3. Step 3: Cross multiply
    510,356.12x = 765,816.06 × 210,767
  4. Step 4: Simplify right side
    510,356.12x = 161,408,753,518.02
  5. Step 5: Solve for x
    x = 161,408,753,518.02/510,356.12
  6. Step 6: Final answer
    x = 316,266.91

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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.