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Finding the Fourth Proportional to 780,016, 1,170,024 and 189,040

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Solution

The fourth proportional to 780,016, 1,170,024 and 189,040 is: 283,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,016 : 1,170,024 = 189,040 : x
  2. Step 2: Convert to fraction form
    780,016/1,170,024 = 189,040/x
  3. Step 3: Cross multiply
    780,016x = 1,170,024 × 189,040
  4. Step 4: Simplify right side
    780,016x = 221,181,336,960
  5. Step 5: Solve for x
    x = 221,181,336,960/780,016
  6. Step 6: Final answer
    x = 283,560

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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.