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Finding the Fourth Proportional to 510,074.93, 765,017.25 and 206,389.50

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Solution

The fourth proportional to 510,074.93, 765,017.25 and 206,389.50 is: 309,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,074.93 : 765,017.25 = 206,389.50 : x
  2. Step 2: Convert to fraction form
    510,074.93/765,017.25 = 206,389.50/x
  3. Step 3: Cross multiply
    510,074.93x = 765,017.25 × 206,389.50
  4. Step 4: Simplify right side
    510,074.93x = 157,891,527,718.88
  5. Step 5: Solve for x
    x = 157,891,527,718.88/510,074.93
  6. Step 6: Final answer
    x = 309,545.75

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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.