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Finding the Fourth Proportional to 510,401.61, 765,403.69 and 210,930.57

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Solution

The fourth proportional to 510,401.61, 765,403.69 and 210,930.57 is: 316,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,401.61 : 765,403.69 = 210,930.57 : x
  2. Step 2: Convert to fraction form
    510,401.61/765,403.69 = 210,930.57/x
  3. Step 3: Cross multiply
    510,401.61x = 765,403.69 × 210,930.57
  4. Step 4: Simplify right side
    510,401.61x = 161,447,036,611.80
  5. Step 5: Solve for x
    x = 161,447,036,611.80/510,401.61
  6. Step 6: Final answer
    x = 316,313.73

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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.