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Finding the Fourth Proportional to 287,686.37, 431,528.94 and 77,324.31

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Solution

The fourth proportional to 287,686.37, 431,528.94 and 77,324.31 is: 115,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,686.37 : 431,528.94 = 77,324.31 : x
  2. Step 2: Convert to fraction form
    287,686.37/431,528.94 = 77,324.31/x
  3. Step 3: Cross multiply
    287,686.37x = 431,528.94 × 77,324.31
  4. Step 4: Simplify right side
    287,686.37x = 33,367,677,530.53
  5. Step 5: Solve for x
    x = 33,367,677,530.53/287,686.37
  6. Step 6: Final answer
    x = 115,986.30

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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.