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Finding the Fourth Proportional to 380,718, 571,077 and 159,102

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Solution

The fourth proportional to 380,718, 571,077 and 159,102 is: 238,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,718 : 571,077 = 159,102 : x
  2. Step 2: Convert to fraction form
    380,718/571,077 = 159,102/x
  3. Step 3: Cross multiply
    380,718x = 571,077 × 159,102
  4. Step 4: Simplify right side
    380,718x = 90,859,492,854
  5. Step 5: Solve for x
    x = 90,859,492,854/380,718
  6. Step 6: Final answer
    x = 238,653

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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.