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Finding the Fourth Proportional to 287,600.40, 431,362.80 and 87,940.80

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Solution

The fourth proportional to 287,600.40, 431,362.80 and 87,940.80 is: 131,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,600.40 : 431,362.80 = 87,940.80 : x
  2. Step 2: Convert to fraction form
    287,600.40/431,362.80 = 87,940.80/x
  3. Step 3: Cross multiply
    287,600.40x = 431,362.80 × 87,940.80
  4. Step 4: Simplify right side
    287,600.40x = 37,934,389,722.24
  5. Step 5: Solve for x
    x = 37,934,389,722.24/287,600.40
  6. Step 6: Final answer
    x = 131,899.64

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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.