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Finding the Fourth Proportional to 287,704.73, 431,681.58 and 154,429.35

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Solution

The fourth proportional to 287,704.73, 431,681.58 and 154,429.35 is: 231,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,704.73 : 431,681.58 = 154,429.35 : x
  2. Step 2: Convert to fraction form
    287,704.73/431,681.58 = 154,429.35/x
  3. Step 3: Cross multiply
    287,704.73x = 431,681.58 × 154,429.35
  4. Step 4: Simplify right side
    287,704.73x = 66,664,305,034.23
  5. Step 5: Solve for x
    x = 66,664,305,034.23/287,704.73
  6. Step 6: Final answer
    x = 231,710.85

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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.