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Finding the Fourth Proportional to 287,310.29, 430,817.81 and 154,302.42

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Solution

The fourth proportional to 287,310.29, 430,817.81 and 154,302.42 is: 231,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,310.29 : 430,817.81 = 154,302.42 : x
  2. Step 2: Convert to fraction form
    287,310.29/430,817.81 = 154,302.42/x
  3. Step 3: Cross multiply
    287,310.29x = 430,817.81 × 154,302.42
  4. Step 4: Simplify right side
    287,310.29x = 66,476,230,384.73
  5. Step 5: Solve for x
    x = 66,476,230,384.73/287,310.29
  6. Step 6: Final answer
    x = 231,374.35

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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.