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Finding the Fourth Proportional to 256,394.86, 384,628.74 and 78,916.66

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Solution

The fourth proportional to 256,394.86, 384,628.74 and 78,916.66 is: 118,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394.86 : 384,628.74 = 78,916.66 : x
  2. Step 2: Convert to fraction form
    256,394.86/384,628.74 = 78,916.66/x
  3. Step 3: Cross multiply
    256,394.86x = 384,628.74 × 78,916.66
  4. Step 4: Simplify right side
    256,394.86x = 30,353,615,500.81
  5. Step 5: Solve for x
    x = 30,353,615,500.81/256,394.86
  6. Step 6: Final answer
    x = 118,386.21

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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.