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Finding the Fourth Proportional to 510,013.80, 765,020.70 and 177,589.80

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Solution

The fourth proportional to 510,013.80, 765,020.70 and 177,589.80 is: 266,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,013.80 : 765,020.70 = 177,589.80 : x
  2. Step 2: Convert to fraction form
    510,013.80/765,020.70 = 177,589.80/x
  3. Step 3: Cross multiply
    510,013.80x = 765,020.70 × 177,589.80
  4. Step 4: Simplify right side
    510,013.80x = 135,859,873,108.86
  5. Step 5: Solve for x
    x = 135,859,873,108.86/510,013.80
  6. Step 6: Final answer
    x = 266,384.70

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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.