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Finding the Fourth Proportional to 256,292.34, 384,294.54 and 106,431.82

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Solution

The fourth proportional to 256,292.34, 384,294.54 and 106,431.82 is: 159,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,292.34 : 384,294.54 = 106,431.82 : x
  2. Step 2: Convert to fraction form
    256,292.34/384,294.54 = 106,431.82/x
  3. Step 3: Cross multiply
    256,292.34x = 384,294.54 × 106,431.82
  4. Step 4: Simplify right side
    256,292.34x = 40,901,167,308.26
  5. Step 5: Solve for x
    x = 40,901,167,308.26/256,292.34
  6. Step 6: Final answer
    x = 159,587.94

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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.