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Finding the Fourth Proportional to 256,847.14, 384,748.47 and 209,630.50

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Solution

The fourth proportional to 256,847.14, 384,748.47 and 209,630.50 is: 314,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,847.14 : 384,748.47 = 209,630.50 : x
  2. Step 2: Convert to fraction form
    256,847.14/384,748.47 = 209,630.50/x
  3. Step 3: Cross multiply
    256,847.14x = 384,748.47 × 209,630.50
  4. Step 4: Simplify right side
    256,847.14x = 80,655,014,140.34
  5. Step 5: Solve for x
    x = 80,655,014,140.34/256,847.14
  6. Step 6: Final answer
    x = 314,019.51

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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.