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Finding the Fourth Proportional to 287,864.40, 431,796.60 and 188,137.20

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Solution

The fourth proportional to 287,864.40, 431,796.60 and 188,137.20 is: 282,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,864.40 : 431,796.60 = 188,137.20 : x
  2. Step 2: Convert to fraction form
    287,864.40/431,796.60 = 188,137.20/x
  3. Step 3: Cross multiply
    287,864.40x = 431,796.60 × 188,137.20
  4. Step 4: Simplify right side
    287,864.40x = 81,237,003,293.52
  5. Step 5: Solve for x
    x = 81,237,003,293.52/287,864.40
  6. Step 6: Final answer
    x = 282,205.80

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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.