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Finding the Fourth Proportional to 510,449.67, 766,147.11 and 257,907.90

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Solution

The fourth proportional to 510,449.67, 766,147.11 and 257,907.90 is: 387,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,449.67 : 766,147.11 = 257,907.90 : x
  2. Step 2: Convert to fraction form
    510,449.67/766,147.11 = 257,907.90/x
  3. Step 3: Cross multiply
    510,449.67x = 766,147.11 × 257,907.90
  4. Step 4: Simplify right side
    510,449.67x = 197,595,389,827.49
  5. Step 5: Solve for x
    x = 197,595,389,827.49/510,449.67
  6. Step 6: Final answer
    x = 387,100.63

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1.5x scale

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.