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Finding the Fourth Proportional to 256,394.56, 384,628.28 and 78,916.36

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Solution

The fourth proportional to 256,394.56, 384,628.28 and 78,916.36 is: 118,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394.56 : 384,628.28 = 78,916.36 : x
  2. Step 2: Convert to fraction form
    256,394.56/384,628.28 = 78,916.36/x
  3. Step 3: Cross multiply
    256,394.56x = 384,628.28 × 78,916.36
  4. Step 4: Simplify right side
    256,394.56x = 30,353,461,492.94
  5. Step 5: Solve for x
    x = 30,353,461,492.94/256,394.56
  6. Step 6: Final answer
    x = 118,385.75

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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.