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Finding the Fourth Proportional to 510,885.14, 766,373.88 and 195,344.78

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Solution

The fourth proportional to 510,885.14, 766,373.88 and 195,344.78 is: 293,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,885.14 : 766,373.88 = 195,344.78 : x
  2. Step 2: Convert to fraction form
    510,885.14/766,373.88 = 195,344.78/x
  3. Step 3: Cross multiply
    510,885.14x = 766,373.88 × 195,344.78
  4. Step 4: Simplify right side
    510,885.14x = 149,707,136,986.35
  5. Step 5: Solve for x
    x = 149,707,136,986.35/510,885.14
  6. Step 6: Final answer
    x = 293,034.82

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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.