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Finding the Fourth Proportional to 510,728, 766,092 and 160,520

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Solution

The fourth proportional to 510,728, 766,092 and 160,520 is: 240,780

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,728 : 766,092 = 160,520 : x
  2. Step 2: Convert to fraction form
    510,728/766,092 = 160,520/x
  3. Step 3: Cross multiply
    510,728x = 766,092 × 160,520
  4. Step 4: Simplify right side
    510,728x = 122,973,087,840
  5. Step 5: Solve for x
    x = 122,973,087,840/510,728
  6. Step 6: Final answer
    x = 240,780

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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.