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Finding the Fourth Proportional to 287,238.29, 430,886.89 and 109,894.46

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Solution

The fourth proportional to 287,238.29, 430,886.89 and 109,894.46 is: 164,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,238.29 : 430,886.89 = 109,894.46 : x
  2. Step 2: Convert to fraction form
    287,238.29/430,886.89 = 109,894.46/x
  3. Step 3: Cross multiply
    287,238.29x = 430,886.89 × 109,894.46
  4. Step 4: Simplify right side
    287,238.29x = 47,352,080,080.56
  5. Step 5: Solve for x
    x = 47,352,080,080.56/287,238.29
  6. Step 6: Final answer
    x = 164,852.96

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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.