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Finding the Fourth Proportional to 287,669.75, 431,504.93 and 155,391.08

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Solution

The fourth proportional to 287,669.75, 431,504.93 and 155,391.08 is: 233,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,669.75 : 431,504.93 = 155,391.08 : x
  2. Step 2: Convert to fraction form
    287,669.75/431,504.93 = 155,391.08/x
  3. Step 3: Cross multiply
    287,669.75x = 431,504.93 × 155,391.08
  4. Step 4: Simplify right side
    287,669.75x = 67,052,017,098.02
  5. Step 5: Solve for x
    x = 67,052,017,098.02/287,669.75
  6. Step 6: Final answer
    x = 233,086.78

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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.