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Finding the Fourth Proportional to 287,208.60, 431,331.30 and 208,411.80

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Solution

The fourth proportional to 287,208.60, 431,331.30 and 208,411.80 is: 312,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,208.60 : 431,331.30 = 208,411.80 : x
  2. Step 2: Convert to fraction form
    287,208.60/431,331.30 = 208,411.80/x
  3. Step 3: Cross multiply
    287,208.60x = 431,331.30 × 208,411.80
  4. Step 4: Simplify right side
    287,208.60x = 89,894,532,629.34
  5. Step 5: Solve for x
    x = 89,894,532,629.34/287,208.60
  6. Step 6: Final answer
    x = 312,993.87

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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.