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Finding the Fourth Proportional to 287,250.54, 430,905.30 and 109,906.71

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Solution

The fourth proportional to 287,250.54, 430,905.30 and 109,906.71 is: 164,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,250.54 : 430,905.30 = 109,906.71 : x
  2. Step 2: Convert to fraction form
    287,250.54/430,905.30 = 109,906.71/x
  3. Step 3: Cross multiply
    287,250.54x = 430,905.30 × 109,906.71
  4. Step 4: Simplify right side
    287,250.54x = 47,359,381,690.04
  5. Step 5: Solve for x
    x = 47,359,381,690.04/287,250.54
  6. Step 6: Final answer
    x = 164,871.34

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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.