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Finding the Fourth Proportional to 287,217.60, 431,344.80 and 208,420.80

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Solution

The fourth proportional to 287,217.60, 431,344.80 and 208,420.80 is: 313,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,217.60 : 431,344.80 = 208,420.80 : x
  2. Step 2: Convert to fraction form
    287,217.60/431,344.80 = 208,420.80/x
  3. Step 3: Cross multiply
    287,217.60x = 431,344.80 × 208,420.80
  4. Step 4: Simplify right side
    287,217.60x = 89,901,228,291.84
  5. Step 5: Solve for x
    x = 89,901,228,291.84/287,217.60
  6. Step 6: Final answer
    x = 313,007.38

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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.