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Finding the Fourth Proportional to 253,132.80, 379,699.20 and 208,809.60

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Solution

The fourth proportional to 253,132.80, 379,699.20 and 208,809.60 is: 313,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,132.80 : 379,699.20 = 208,809.60 : x
  2. Step 2: Convert to fraction form
    253,132.80/379,699.20 = 208,809.60/x
  3. Step 3: Cross multiply
    253,132.80x = 379,699.20 × 208,809.60
  4. Step 4: Simplify right side
    253,132.80x = 79,284,838,072.32
  5. Step 5: Solve for x
    x = 79,284,838,072.32/253,132.80
  6. Step 6: Final answer
    x = 313,214.40

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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.