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Finding the Fourth Proportional to 780,010, 1,170,015 and 189,034

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Solution

The fourth proportional to 780,010, 1,170,015 and 189,034 is: 283,551

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,010 : 1,170,015 = 189,034 : x
  2. Step 2: Convert to fraction form
    780,010/1,170,015 = 189,034/x
  3. Step 3: Cross multiply
    780,010x = 1,170,015 × 189,034
  4. Step 4: Simplify right side
    780,010x = 221,172,615,510
  5. Step 5: Solve for x
    x = 221,172,615,510/780,010
  6. Step 6: Final answer
    x = 283,551

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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.