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Finding the Fourth Proportional to 384,774.62, 530,978.79 and 215,010.14

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Solution

The fourth proportional to 384,774.62, 530,978.79 and 215,010.14 is: 296,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,774.62 : 530,978.79 = 215,010.14 : x
  2. Step 2: Convert to fraction form
    384,774.62/530,978.79 = 215,010.14/x
  3. Step 3: Cross multiply
    384,774.62x = 530,978.79 × 215,010.14
  4. Step 4: Simplify right side
    384,774.62x = 114,165,823,974.93
  5. Step 5: Solve for x
    x = 114,165,823,974.93/384,774.62
  6. Step 6: Final answer
    x = 296,708.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.