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Finding the Fourth Proportional to 287,302.88, 430,921.38 and 109,805.96

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Solution

The fourth proportional to 287,302.88, 430,921.38 and 109,805.96 is: 164,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,302.88 : 430,921.38 = 109,805.96 : x
  2. Step 2: Convert to fraction form
    287,302.88/430,921.38 = 109,805.96/x
  3. Step 3: Cross multiply
    287,302.88x = 430,921.38 × 109,805.96
  4. Step 4: Simplify right side
    287,302.88x = 47,317,735,815.42
  5. Step 5: Solve for x
    x = 47,317,735,815.42/287,302.88
  6. Step 6: Final answer
    x = 164,696.35

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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.