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Finding the Fourth Proportional to 510,968.34, 766,542.57 and 211,281

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Solution

The fourth proportional to 510,968.34, 766,542.57 and 211,281 is: 316,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,968.34 : 766,542.57 = 211,281 : x
  2. Step 2: Convert to fraction form
    510,968.34/766,542.57 = 211,281/x
  3. Step 3: Cross multiply
    510,968.34x = 766,542.57 × 211,281
  4. Step 4: Simplify right side
    510,968.34x = 161,955,880,732.17
  5. Step 5: Solve for x
    x = 161,955,880,732.17/510,968.34
  6. Step 6: Final answer
    x = 316,958.74

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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.