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Finding the Fourth Proportional to 287,815.28, 431,684.03 and 77,465.84

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Solution

The fourth proportional to 287,815.28, 431,684.03 and 77,465.84 is: 116,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,815.28 : 431,684.03 = 77,465.84 : x
  2. Step 2: Convert to fraction form
    287,815.28/431,684.03 = 77,465.84/x
  3. Step 3: Cross multiply
    287,815.28x = 431,684.03 × 77,465.84
  4. Step 4: Simplify right side
    287,815.28x = 33,440,764,033.78
  5. Step 5: Solve for x
    x = 33,440,764,033.78/287,815.28
  6. Step 6: Final answer
    x = 116,188.29

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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.