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Finding the Fourth Proportional to 287,823.84, 431,704.80 and 77,483.04

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Solution

The fourth proportional to 287,823.84, 431,704.80 and 77,483.04 is: 116,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,823.84 : 431,704.80 = 77,483.04 : x
  2. Step 2: Convert to fraction form
    287,823.84/431,704.80 = 77,483.04/x
  3. Step 3: Cross multiply
    287,823.84x = 431,704.80 × 77,483.04
  4. Step 4: Simplify right side
    287,823.84x = 33,449,800,286.59
  5. Step 5: Solve for x
    x = 33,449,800,286.59/287,823.84
  6. Step 6: Final answer
    x = 116,216.23

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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.