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Finding the Fourth Proportional to 522,018, 783,027 and 128,034

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Solution

The fourth proportional to 522,018, 783,027 and 128,034 is: 192,051

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,018 : 783,027 = 128,034 : x
  2. Step 2: Convert to fraction form
    522,018/783,027 = 128,034/x
  3. Step 3: Cross multiply
    522,018x = 783,027 × 128,034
  4. Step 4: Simplify right side
    522,018x = 100,254,078,918
  5. Step 5: Solve for x
    x = 100,254,078,918/522,018
  6. Step 6: Final answer
    x = 192,051

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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.