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Finding the Fourth Proportional to 256,546.40, 384,819.60 and 209,307.20

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Solution

The fourth proportional to 256,546.40, 384,819.60 and 209,307.20 is: 313,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,546.40 : 384,819.60 = 209,307.20 : x
  2. Step 2: Convert to fraction form
    256,546.40/384,819.60 = 209,307.20/x
  3. Step 3: Cross multiply
    256,546.40x = 384,819.60 × 209,307.20
  4. Step 4: Simplify right side
    256,546.40x = 80,545,512,981.12
  5. Step 5: Solve for x
    x = 80,545,512,981.12/256,546.40
  6. Step 6: Final answer
    x = 313,960.80

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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.