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Finding the Fourth Proportional to 780,022, 1,170,033 and 189,046

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Solution

The fourth proportional to 780,022, 1,170,033 and 189,046 is: 283,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,022 : 1,170,033 = 189,046 : x
  2. Step 2: Convert to fraction form
    780,022/1,170,033 = 189,046/x
  3. Step 3: Cross multiply
    780,022x = 1,170,033 × 189,046
  4. Step 4: Simplify right side
    780,022x = 221,190,058,518
  5. Step 5: Solve for x
    x = 221,190,058,518/780,022
  6. Step 6: Final answer
    x = 283,569

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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.