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Finding the Fourth Proportional to 510,970.84, 766,546.32 and 211,283.50

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Solution

The fourth proportional to 510,970.84, 766,546.32 and 211,283.50 is: 316,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,970.84 : 766,546.32 = 211,283.50 : x
  2. Step 2: Convert to fraction form
    510,970.84/766,546.32 = 211,283.50/x
  3. Step 3: Cross multiply
    510,970.84x = 766,546.32 × 211,283.50
  4. Step 4: Simplify right side
    510,970.84x = 161,958,589,401.72
  5. Step 5: Solve for x
    x = 161,958,589,401.72/510,970.84
  6. Step 6: Final answer
    x = 316,962.49

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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.