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Finding the Fourth Proportional to 510,428.66, 765,713.05 and 173,378.85

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Solution

The fourth proportional to 510,428.66, 765,713.05 and 173,378.85 is: 260,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,428.66 : 765,713.05 = 173,378.85 : x
  2. Step 2: Convert to fraction form
    510,428.66/765,713.05 = 173,378.85/x
  3. Step 3: Cross multiply
    510,428.66x = 765,713.05 × 173,378.85
  4. Step 4: Simplify right side
    510,428.66x = 132,758,444,734.12
  5. Step 5: Solve for x
    x = 132,758,444,734.12/510,428.66
  6. Step 6: Final answer
    x = 260,092.07

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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.