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Finding the Fourth Proportional to 780,018, 1,170,027 and 189,042

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Solution

The fourth proportional to 780,018, 1,170,027 and 189,042 is: 283,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,018 : 1,170,027 = 189,042 : x
  2. Step 2: Convert to fraction form
    780,018/1,170,027 = 189,042/x
  3. Step 3: Cross multiply
    780,018x = 1,170,027 × 189,042
  4. Step 4: Simplify right side
    780,018x = 221,184,244,134
  5. Step 5: Solve for x
    x = 221,184,244,134/780,018
  6. Step 6: Final answer
    x = 283,563

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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.