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Finding the Fourth Proportional to 753,786, 1,130,883.12 and 255,150

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Solution

The fourth proportional to 753,786, 1,130,883.12 and 255,150 is: 382,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,786 : 1,130,883.12 = 255,150 : x
  2. Step 2: Convert to fraction form
    753,786/1,130,883.12 = 255,150/x
  3. Step 3: Cross multiply
    753,786x = 1,130,883.12 × 255,150
  4. Step 4: Simplify right side
    753,786x = 288,544,828,068
  5. Step 5: Solve for x
    x = 288,544,828,068/753,786
  6. Step 6: Final answer
    x = 382,794.09

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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.